• (with Numan Sheikh) Some Hardness Results for Question/Answer Games, Vol 7

• (with Jean-Luc Chabert and Youssef Fares) Subsets of Z With Simultaneous Orderings, Vol 10

• A Novel Approach to the Discovery of Binary BBP-Type Formulas for Polylogarithm Constants, Vol 11

• (with Grant Cairns) A Property of Twin Primes, Vol 12

• (with Karl Dilcher) Generalized Convolution Identities for Stirling Numbers of the Second Kind, Vol 8(1)
• (with Karl Dilcher) Convolution Identities for Stirling Numbers of the First Kind, Vol 10
• (with Karl Dilcher) Convolution and Reciprocity Formulas for Bernoulli Polynomials, Vol 11

• Some New Van der Waerden Numbers and Some Van der Waerden-type Numbers, Vol 9
• Two New Van der Waerden Numbers: w(2;3,17) and w(2;3,18), Vol 10
• On Computation of Exact Van Der Waerden Numbers, Vol 11
• (with Michael G. Eldredge, Jonathan J. Marler, and Hunter S. Snevily) Strict Schur Numbers, Vol 13

• (with Anthony B. Evans and Dan Pritikin) Representation Numbers of Stars, Vol 10

• (with Makoto Tagami) On the Number of Points in a Lattice Polytope, Vol 11

• (with Richard J. Nowakowski) Nim Restrictions, Vol 4
• (with J. P. Grossman, Richard J. Nowakowski, and David Wolfe) An Introduction to Clobber, Vol 5(2)

• On the Intersections of Fibonacci, Pell, and Lucas Numbers, Vol 11A

• (with Jacob Fox and Ron Graham), On Minimimal Colorings Without Monochromatic Solutions to a Linear Equation, Vol 7(2)

• (with Bouroubi Sadek) Some Results on Balancing, Cobalancing, (a,b)-Type Balancing, and (a,b)-Type Cobalancing Numbers, Vol 13

• On the Periodicity of Genus Sequences of Quaternary Games, Vol 7

• A Remark on the Boros-Moll Sequence, Vol 11
• On the Stern Sequence and Its Twisted Version, Vol 12

• (with Jacob Manske) A New Approach to the Results of Kövari, Sós, and Turán Concerning Rectangle-Free Subsets of the Grid, Vol 12

• Restricted Integer Partition Functions, Vol 13

• Differences of Multiple Fibonacci Numbers, Vol 9

• (with Joshua Zelinsky) Numbers With Integer Complexity Close to the Lower Bound, Vol 12A

• (with Andrej Dujella and Florian Luca) On a Conjecture Regarding Balancing With Powers of Fibonacci Numbers, Vol 12A

• A Note on Fibonacci-Type Polynomials, Vol 10
• (with D. Callan and V. Moll) Valuations and Combinatorics of Truncated Exponential Sums, Vol 13

• (with S. T. Chapman, Natalie Hine, and João Paixão) Sets of Lengths Do Not Characterize Numerical Monoids, Vol 7

• (with D.A. Preece) Obtaining All or Half of U_n as ⟨ x ⟩ x ⟨ x+1 ⟩, Vol 12

• The Finite Heine Transform, Volume 9 Supplement

• (with Margherita Barile) Two Very Short Proofs of a Combinatorial Identity, Vol 5(1)

• (with Doron Zeilberger) Searching for Strange Hypergeometric Identities by Sheer Brute Force, Vol 8(1)

• (with Richard Blecksmith and John Brillhart) Algorithms for Finding and Proving Balanced Q² Identities, Vol 7(2)
• (with Richard Blecksmith and John Brillhart) Proving Balanced T² and Q² Identities Using Modular Forms, Vol 11A

• Upper and Lower Bounds for a Function Related to Brown's Lemma, Vol 10
• (with Tom Brown, Veselin Jungić, and Julian Sahasrabudhe) On Abelian and Additive Complexity in Infinite Words, Vol 12

• (with Valérie Berthé, Zuzana Masáková, and Edita Pelantová) Sturm Numbers and Substitution Invariance of 3iet Words, Vol 8(1)

• (with Li-Chung Chen, Tegan Cheslack-Postava, Benjamin Cooper, Alexander Diesl, Thomas Garrity, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Lukasz M. Fidkowski) Number Theory, Balls in Boxes, the Asymptotic Uniqueness of Maximal Discrete Order Statistics, Vol 0

• (with Aaron Robertson and Jeffrey Shallit) Van der Waerden's Theorem and Avoidability in Words, Vol 11

• (with Jacob Manske) On Monochromatic Subsets of a Rectangular Grid, Vol 8(1)

• (with Omar Kihel) The Number of Relatively Prime Subsets of {1, 2, ..., n}, Vol 9
• (with Omar Kihel) On Relatively Prime Sets, Vol 9

B

• On Ternary Inclusion-Exclusion Polynomials, Vol 10
• (with Pieter Moree) On a Class of Ternary Inclusion-Exclusion Polynomials, Vol 11

• (with Ernie Croot, Mariah Hamel, and Derrick Hart) Sum-Product Inequalities With Perturbation, Vol 11A

• A Note on P-sets, Vol 4

• (with Imre Ruzsa) The Independence Number of a Subset of an Abelian Group, Vol 3

• (with Gautami Bhowmik), Upper Bounds for the Davenport Constant, Vol 7(2)
• (with Florian Luca) On the Number of Factorizations of an Integer, Vol 11

• (with Zuzana Masáková and Edita Pelantová) Complete Characterization of Substitution Invariant Sturmian Sequences, Vol 5(1)
• (with Zuzana Masáková and Edita Pelantová) Characterization of Substitution Invariant Words Coding Exchange of Three Intervals, Vol 8(1)

• (with Pierre Liardet and Oto Strauch) Distribution Functions of the Sequence φ(M)/M, M ∈ (K,K+N] As K, N Go to Infinity, Vol 10

• (with Karel Klouda and Edita Pelantová) Critical Exponent of Infinite Words Coding Beta-Integers Associated with Non-Simple Parry Numbers, Vol 11B
• Factor Frequencies in Languages Invariant Under Symmetries Preserving Factor Frequencies, Vol 12

• An Elementary Method to Compute Prime Densities in F_Q, Vol 7(2)

• (with Kevin A. Broughan and Igor E. Shparlinski) Sum-Products Estimates with Several Sets and Applications, Vol 12

• (with Igor E. Shparlinski) Integers with a Large Smooth Divisor, Vol 7
• (with Ahmet M. Güloğlu and C. Wesley Nevans ) On the Congruence N ≡ A (mod ϕ(N)), Vol 8(1)
• (with Florian Luca) Power Totients With Almost Primes, Vol 11A

• (with Christiane Frougny and Attila Petho) A Note on Linear Recurrent Mahler Numbers, Vol 5(3)

• (with David J. Grynkiewicz) Long Arithmetic Progressions in Small Sumsets, Vol 10

• (with Micha Moffie, Ares Ribó, and Günter Rote) Counting Polyominoes on Twisted Cylinders, Vol 6

• (with Roberto Anglani) Two Very Short Proofs of a Combinatorial Identity, Vol 5(1)

• (with Jonali Bora) Further Analogues of the Rogers-Ramanujan Functions with Applications to Partitions, Vol 7(2)
• (with Bidyut Boruah) Two Theta Function Identities of Ramanujan and Representation of a Number as a Sum of Three Squares and as a Sum of Three Triangular Numbers, Vol 12
• (with Bipul Kumar Sarmah) The Number of Representations of a Number as Sums of Various Polygonal Numbers, Vol 12

• (with Surahmat and H. J. Broersma) The Ramsey Numbers of Large Cycles versus Small Wheels, Vol 4

• (with Dominic Klyve) On the Sum of Reciprocals of Amicable Numbers, Vol 11A
• (with Dominic Klyve and Tomás Oliveira e Silva) New Bounds and Computations on Prime-Indexed Primes, Vol 13

• (with Curtis Kifer) An Extreme Family of Generalized Frobenius Numbers, Vol 11

• (with Ognain Trifonov), On a Problem of Ore, Vol 7(2)

• (with Farid Bencherif) Linear Recurrent Sequences and Powers of a Square Matrix, Vol 6
• (with Miloud Mihoubi) The (Exponential) Bipartitional Polynomials and Polynomial Sequences of Trinomial Type: Part I, Vol 11
• (with Miloud Mihoubi) The (Exponential) Bipartitional Polynomials and Polynomial Sequences of Trinomial Type: Part II, Vol 11

• Diagonal Peg Solitaire, Vol 7
• (with Daniel S. Hirschberg and Pablo Guerrero-García) The Minimum Size Required of a Solitaire Army, Vol 7
• The Shortest Game of Chinese Checkers and Related Problems, Vol 9

(with Hacène Belbachir) Linear Recurrent Sequences and Powers of a Square Matrix, Vol 6

• (with David Gaebler and Robert Gaebler) A Combinatorial Approach to Hyperharmonic Numbers, Vol 3
• (with Doron Zeilberger) Pythagorean Primes and Palindromic Continued Fractions, Vol 5(1)
• (with Mark A. Shattuck) Recounting Determinants for a Class of Hessenberg Matrices, Vol 7

• A Question of Sierpinski on Triangular Numbers, Vol 5(1)
• Perfect Powers With Few Ternary Digits, Vol 12A

• (with Sadek Bouroubi) Integer Partitions into Arithmetic Progressions with an Odd Common Difference, Vol 9

• Reformed Permutations in Mousetrap and Its Generalizations, Vol 10

• (with Anne Siegel) Tilings Associated with Beta-numeration and Substitutions, Vol 5(3)
• (with Pierre Arnoux, Zuzana Masáková, and Edita Pelantová) Sturm Numbers and Substitution Invariance of 3iet Words, Vol 8(1)
• Multidimensional Euclidean Algorithms, Numeration and Substitutions, Vol 11b

• (with R. Balasubramanian) Upper Bounds for the Davenport Constant, Vol 7(2)
• (with Immanuel Halupczok and Jan-Christoph Schlage-Puchta) Inductive Methods and Zero-sum Free Sequences, Vol 9

• (with Bilal Khan and Delaram Kahrobaei) A Graphic Generalization of Arithmetic, Vol 7

• Some Problems in View of Recent Developments of the Erdős Ginzburg Ziv Theorem, Vol 7(2)
• (with Tran Dinh Luong) An Analogue of the Erdős-Ginzburg-Ziv Theorem for Quadratic Symmetric Polynomials, Vol 9
• (with Bryan Wilson) On Monochromatic Sets of Integers Whose Diameters Form a Monotone Sequence, Vol 9

• Partition of an Integer into Distinct Bounded Parts, Identities and Bounds, Vol 12

• (with Yves Edel) Families of Nets of Low and Medium Strength, Vol 5(3)
• (with Wolfgang Ch. Schmid) An Asymptotic Gilber-Varshamov Bound for (t,m,s)-nets, Vol 5(3)

• (with Eric Duchêne and Sylvain Gravier) A Deletion Game on Graphs: Le Pic Arête, Vol 6

• (with Aviezri S. Fraenkel) Tromping Games: Tiling With Trominoes, Vol 11A

• (with Frank Harary and Rogério Reis) Partitions into Sum-free Sets, Vol 6

• (with Geoffrey Apel and John Brillhart) Algorithms for Finding and Proving Balanced Q² Identities, Vol 7(2)
• (with Geoffrey Apel and John Brillhart) Proving Balanced T² and Q² Identities Using Modular Forms, Vol 11A

• (with Julien M. Hendrickx and Raphaël M. Jungers) Solitaire Clobber as an Optimization Problem on Words, Vol 8(1)

• (with Byron Heersink and Paul Spiegelhalter) Gap Distribution of Farey Fractions Under Some Divisibility Constraints, Vol 13

• On Mullin's Second Sequence of Primes, Vol 12A

• (with Nayandeep Deka Baruah) Further Analogues of the Rogers-Ramanujan Functions with Applications to Partitions, Vol 7(2)

• (with Nayandeep Deka Baruah) Two Theta Function Identities of Ramanujan and Representation of a Number as a Sum of Three Squares and as a Sum of Three Triangular Numbers, Vol 12

• (with Jonathan M. Borwein, Armin Straub, and James Wan) Log-Sine Evaluations of Mahler Measures, II, Vol 12A

• (with David Borwein, Armin Straub, and James Wan) Log-Sine Evaluations of Mahler Measures, II, Vol 12A

• (with Nesrine Benyahia Tani) Integer Partitions into Arithmetic Progressions with an Odd Common Difference, Vol 9
• (with Debbache Ali) Some Results on Balancing, Cobalancing, (a,b)-Type Balancing, and (a,b)-Type Cobalancing Numbers, Vol 13

• (with Ron Evans, Victor Luo, and Steven J Miller) Coordinate Sum and Difference Sets of d-Dimensional Modular Hyperbolas, Vol 13

• The Euler Series Transformation and the Binomial Identities of Ljunggren, Munarini, and Simons, Vol 10

• (with Robert Davis, Jessica Doering, Ashley Harrison, Jenna Noll, and Clifford Taylor) Compositions Constrained by Graph Laplacian Minors, Vol 13

• (with Frederik von Heymann) Staircases in Z², Vol 10

• Ducci Sequences in Higher Dimensions, Vol 7

• A Combinatorial Interpretation of the Poly-Bernoulli Numbers and Two Fermat Analogues, Vol 8(1)

• (with Geoffrey Apel and Richard Blecksmith) Algorithms for Finding and Proving Balanced Q² Identities, Vol 7(2)
• (with Geoffrey Apel and Richard Blecksmith) Proving Balanced T² and Q² Identities Using Modular Forms, Vol 11A

• (with Surahmat and E. T. Baskoro) The Ramsey Numbers of Large Cycles versus Small Wheels, Vol 4

• Asymptotic Order of the Square-free Part of N!, Vol 2
• (with Florian Luca and Igor E. Shparlinski) Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem, Vol 10
• (with Marcos J. González, Ryan H. Lewis, Florian Luca, V. Janitzio Mejía Huguet, and Alain Togbé) There Are No Multiply-Perfect Fibonacci Numbers, Vol 11A
• An Explicit Bound for Aliquot Cycles of Repdigits, Vol 12
• (with Antal Balog and Igor E. Shparlinski) Sum-Products Estimates with Several Sets and Applications, Vol 12
• (with Qizhi Zhou) Odd Repdigits to Small Bases are Not Perfect, Vol 12
• (with Daniel Delbourgo and Qizhi Zhou) Improving the Chen and Chen Result for Odd Perfect Numbers, Vol 13

• (with Gabor Horvath, Ildiko Molnar-Saska, and Csaba Szabo) On Three-rowed Chomp, Vol 5(1)

• (with Scott M. Dunn and Joshua Harrington) Arithmetic Progressions in the Polygonal Numbers, Vol 12

• (with Neil J. Calkin, Kevin James, Adam J. King, Shannon Lockard, and Rober t C Rhoades) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6

• Monochromatic Forests of Finite Subsets of N, Vol 0
• A Partition of the Non-Negative Integers, with Applications, Vol 5(2)
• (with Hayri Ardal, Veselin Jungić, and Julian Sahasrabudhe) On Abelian and Additive Complexity in Infinite Words, Vol 12
• Approximations of Additive Squares in Infinite Words, Vol 12

• (with Montserrat Maureso) Symmetries in Steinhaus Triangles and in Generalized Pascal Triangles, Vol 11

• Symmetric CNS Polynomials, Vol 9
• A Class of Quadrinomial Garsia Numbers, Vol 11b
• A Unified Proof of Two Classical Theorems on CNS Polynomials, Vol 12

• (with Nicole Calkins, William Nathan Hack, Joshua Lambert, and Kimberly Thompson) Enumeration of Triangles in Quartic Residue Graphs, Vol 11

• On the β-Expansion of an Algebraic Number in an Algebraic Base β, Vol 9

• (with Brian Hopkins) Tableau Cycling and Catalan Numbers, Vol 7

• Conjugacy Classes and Class Number, Vol 9

• Twelfth Power Qualified Residue Difference Sets, Vol 9

• Poset Game Periodicity, Vol 3

C

• (with Nhan Bao Ho) Min, A Combinatorial Game Having a Connection With Prime Numbers, Vol 10
• (with Christian Aebi) A Property of Twin Primes, Vol 12

• (with Takao Komatsu) Powers of Sierpiński Numbers Base B, Vol 10

• (with Steven R. Finch and Timothy B. Flowers) Difference Density and Aperiodic Sum-Free Sets, Vol 5(2)
• (with Morgan V. Brown, Kevin James, Adam J. King, Shannon Lockard, and Robert C Rhoades) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6
• (with Nate Drake, Kevin James, Shirley Law, Philip Lee, David Penniston, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)
• (with Julia Davis, Michelle Delcourt, Zebediah Engberg, Jobby Jacob, and Kevin James) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13

• (with Mark Budden, William Nathan Hack, Joshua Lambert, and Kimberly Thompson) Enumeration of Triangles in Quartic Residue Graphs, Vol 11

• A Combinatorial Proof of Sun's "Curious" Identity, Vol 4
• (with T. Amdeberhan and V. Moll) Valuations and Combinatorics of Truncated Exponential Sums, Vol 13

• On Optimal Play in the Game of Hex, Vol 4

• (with Carl Pomerance) On the Problem of Uniqueness for the Maximum Stirling Number(s) of the Second Kind, Vol 2
• (with Carl Pomerance) Corrigendum to Article A1, Volume 2(2002) (On the Problem of Uniqueness for the Maximum Stirling Number(s) of the Second Kind), Vol 5(1)

• A New Proof of Winquist's Identity, Vol 11

• (with Neil Hindman and Dona Strauss) Ramsey Theoretic Consequences of Some New Results About Algebra in the Stone-Cech Compactification, Vol 5(2)

• (with Carlos P. Santos, Cátia Lente Dias, Francisco Coelho, João Pedro Neto, and S andra Vinagre) A Recursive Process Related to a Partizan Variation of Wythoff, Vo l 12

• (with Jean-Louis Nicolas and Jonathan Sondow) Robin's Theorem, Primes, and a New Elementary Reformulation of the Riemann Hypothesis, Vol 11

• (with Gian Mario Gianella) On Sums of Squares of Pell-Lucas Numbers, Vol 6

• (with David Adam and Youssef Fares) Subsets of Z With Simultaneous Orderings, Vol 10

• Analogs of the Stern Sequence, Vol 11

• Distribution of Differences Between Inverses of Consecutive Integers Modulo p, Vol 4
• Finding Almost Squares II, Vol 5(1)
• Finding Almost Squares III, Volume 9 Supplement
• A Short Note on the Difference Between Inverses of Consecutive Integers Modulo p, Vol 9
• Finding Almost Squares V, Vol 10

• (with Eugen J. Ionascu) A Characterization of All Equilateral Triangles in Z³, Vol 8(1)

• Some Problems in Combinatorial Number Theory, Vol 8(2)

• (with Alex Iosevich) On Rapid Generation of SL₂(F_q), Vol 9

• An Infinite Family of Dual Sequence Identities, Vol 5(1)
• Lagrange Inversion and Stirling Number Convolutions, Vol 8(1)

• (with William W. Smith) A Characterization of Minimal Zero-Sequences of Index One in Finite Cyclic Groups, Vol 5(1)
• (with Jeff Amos, Natalie Hine, and João Paixão) Sets of Lengths Do Not Characterize Numerical Monoids, Vol 7

• On a Problem of Molluzzo Concerning Steinhaus Triangles in Finite Cyclic Groups, Vol 8(1)
• (with Shalom Eliahou) On the Problem of Molluzzo for the Modulus 4, Vol 12

• (with Michel Rigo and Wolfgang Steiner) Abstract Numeration Systems on Bounded Languages and Multiplication by a Constant, Vol 8(1)
• (with Narad Rampersad, Michel Rigo, and Laurent Waxweiler) The Minimal Automaton Recognizing mN in a Linear Numeration System, Vol 11b

• (with Svetoslav Savchev) Minimal Zero-sum Sequences of Maximum Length in the Group C₃ ⊕ C_3k, Vol 7
• (with Svetoslav Savchev) Long Minimal Zero-Sum Sequences in the Group C₂⊕ C_2k, Vol 12

• (with Quan-Hui Yang) On Bases With a T-Order, Vol 11

• A Refinement of a Partition Theorem of Sellers, Vol 4

• (with Sami Assaf, Tegan Cheslack-Postava, Benjamin Cooper, Alexander Diesl, Thomas Garrity, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• Congruences for Overpartition k-Tuples, Vol 10< /a>

• (with Li-Xia Dai) Congruences with Factorials Modulo p, Vol 6
• (with Jin-Hui Fang) Triangular Numbers in Geometric Progression, Vol 7
• (with Jin-Hui Fang) On N | φ(N)D(N)+2 and N | φ(N)σ(N)+1, Vol 8(1)
• (with Wen Jiang) Catalan Numbers Modulo a Prime Power, Vol 13

• (with Hsuan-Chu Li and Eng-Tjioe Tan) Counting Determinants of Fibonacci -Hessenberg Matrices Using LU Factorizations, Vol 9

• A Probabilistic Look at Series Involving Euler's Totient Function, Vol 12

• (with Sami Assaf, Li-Chung Chen, Benjamin Cooper, Alexander Diesl, Thomas Garrity, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Sukumar Das Adhikari) Number of Weighted Subsequence Sums With Weights in {1, -1}, Vol 11

• (with Yotsanan Meemark) Lerch's Theorems Over Function Fields, Vol 10

• Sums and Products of Distinct Sets and Distinct Elements in C, Vol 10

• (with Leontina Veliana Di Claudio) Jensen Proof of a Curious Binomial Identity, Vol 3
• (with Xiaoyuan Wang) Multiple Convolution Formulae on Classical Combinatorial Numbers, Vol 7

• (with Ron Graham) Universal Juggling Cycles, Vol 7(2)

• Gaps in Dense Sidon Sets, Vol 0

• On the Complexity of N-Player Hackenbush, Vol 9

• Waring's Number in a Finite Field, Vol 9
• (with Todd Cochrane) Sum-Product Estimates Applied to Waring's Problem Over Finite Fields, Vol 11

• Central and Local Limit Theorems for Excedances by Conjugacy Class and by Derangement, Vol 2
• Multiplicities of Integer Arrays, Vol 10

• (with Jacob Hicks, Katherine Thompson, and Nathan Walters) GoNII: Universal Quaternary Quadratic Forms, Vol 12
• (with Jacob Hicks, Hans Parshall, and Katherine Thompson) GoNI: Primes Represented by Binary Quadratic Forms, Vol 13

• (with Adrian Iordache and Alexandru Zaharescu) The Relative Size of Consecutive Odd Denominators in Farey Series, Vol 3

• (with Christopher Pinner) Sum-product Estimates Applied to Waring's Problem Mod p, Vol 8(1)
• (with James Cipra) Sum-Product Estimates Applied to Waring's Problem Over Finite Fields, Vol 11

• (with Alda Carvalho, Carlos P. Santos, Cátia Lente Dias, João Pedro Neto, and Sandra Vinagre) A Recursive Process Related to a Partizan Vari ation of Wythoff, Vol 12

• (with Ronald M. Sorli) On Odd Perfect Numbers and Even 3-Perfect Numbers, Vol 12A

• Variations on a Theme of Euclid, Vol 5(1)

• On Some Conjectures Concerning Stern's Sequence and Its Twist, Vol 11
• A Correlation Identity for Stern's Sequence, Vol 12

• (with Sami Assaf, Li-Chung Chen, Tegan Cheslack-Postava, Alexander Diesl, Thomas Garrity, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Michael Hirschhorn) A Combinatorial Proof of a Result from Number Theory, Vol 4
• (with Sanoli Gun, Michael Hirschhorn, and B. Ramakrishnan) Relations Among Fourier Coefficients of Certain Eta Products, Vol 5(1)
• (with Heung Yeung Lam and Dongxi Ye) Representations of Squares by Certain Septenary Quadratic Forms, Vol 13

• (with John Steinberger) On the Entry Sum of Cyclotomic Arrays, Vol 6

• On the Symmetry of Divisor Sums Functions in Almost All Short Intervals, Vol 4

• (with Sándor Szabó) Factorization Results with Combinatorial Proofs, Vol 9

• (with Carla D. Savage) Plane Partition Diamonds and Generalizations, Vol 3
• (with Carla D. Savage and Herbert S. Wilf) A Note on Partitions and Compositions Defined by Inequalities, Vol 5(1)
• (with Sunyoung Lee and Carla D. Savage) Five Guidelines for Partition Analysis with Applications to Lecture Hall-type Theorems, Vol 7(2)

• (with Karl Dilcher) Extensions of the Gauss-Wilson Theorem, , Vol 8(1)

• (with James A. Sellers) Arithmetic Properties for Hyper m-ary Partition Functions, Vol 4

• The Googol-th Bit of the Erdős--Borwein Constant, Vol 12

• Sums of the Form 1/x₁^k + ... + 1/x_n^k Modulo a Prime, Vol 4
• (with Imre Ruzsa and Tomasz Schoen) Arithmetic Progressions in Sparse Sumsets, Vol 7(2)
• (with Spencer Backman, Mariah Hamel, and Derrick Hart) Sum-Product Inequalities With Perturbation, Vol 11A

• (with Ryan R. Martin and András Pluhár) On the Complexity of Chooser-Picker Positional Games, Vol 11

• (with Farshid Hajir) Primes of Prescribed Congruence Class in Short Intervals, Vol 12

• (with Bruce Landman and Aaron Robertson) Some New Exact van der Waerden Numbers, Vol 5(2)

• (with Taylor Hines, Glenn Hurlbert, and Tatiana Moyer) On Pebbling Graphs By Their Blocks, Vol 9

• (with Yuan Li and Pantelimon Stănică) On a Combinatorial Conjecture, Vol 11

D

• (with Yong-Gao Chen) Congruences with Factorials Modulo p, Vol 6

• (with Charlene Kalle) Transformations Generating Negative β-Expansions, Vol 11b

• (with E. E. Pyle) Maximum GCD Among Pairs of Random Integers, Vol 11

• (with Purusottam Rath) Davenport Constant with Weights and Some Related Questions, Vol 6
• (with Chantal David and Jorge Jiménez Urroz) Generalizations of Some Zero-sum Theorems, Vol 8(1)
• (with Mohan N. Chintamani) Number of Weighted Subsequence Sums With Weights in {1, -1}, Vol 11

• Integrality of Quotients of Wronskians of the Andrews-Gordon Series, Vol 6

• (with Sukumar Das Adhikari and Jorge Jiménez Urroz) Generalizations of Some Zero-sum Theorems, Vol 8(1)

• Divisibility by 2 and 3 of Certain Stirling Numbers, Vol 8(1)
• Coefficients in Powers of the Log Series, Vol 11

• (with Neil J. Calkin, Michelle Delcourt, Zebediah Engberg, Jobby Jacob, and Kevin James) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13

• (with Benjamin Braun, Jessica Doering, Ashley Harrison, Jenna Noll, and Clifford Taylor) Compositions Constrained by Graph Laplacian Minors, Vol 13

• Combined Algebraic Properties of Central* Sets, Vol 7

• On the Equation m-1 = a (m), Vol 6
• An Identity Involving Multiplicative Orders, Vol 8(1)

• (with Florian Luca) On Strings of Consecutive Economical Numbers of Arbitrary Length, Vol 5(2)
• (with Nicolas Doyon) On the Distance Between Smooth Numbers, Vol 11

• (with Kevin A. Broughan and Qizhi Zhou) Improving the Chen and Chen Result for Odd Perfect Numbers, Vol 13

• (with Neil J. Calkin, Julia Davis, Zebediah Engberg, Jobby Jacob, and Kevin James) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13

• (with Pingzhi Yuan) On a Combinatorial Conjecture of Tu and Deng, Vol 12

• Une Forme Effective d'un Théorème de Bateman sur la Fonction Phi d'Euler, Vol 9
• Ordre Maximum d'une Fonction Liée aux Diviseurs d'un Nombre Entier, Vol 12

• (with Gyan Prakash) Large Zero-Free Subsets of Z/pZ, Vol 11A

• Bumby's Technique and a Result of Liouville on a Quadratic Form, Vol 8(2)
• A Quaternionic Proof of the Universality of Some Quadratic Forms, Vol 8(2)

• Integer Subsets with High Volume and Low Perimeter, Vol 12

• On 2-Adic Orders of Stirling Numbers of the Second Kind, Vol 5(1)

• Euler Pseudoprimes for Half of the Bases, Vol 12A

• (with Wenchang Chu) Jensen Proof of a Curious Binomial Identity, Vol 3

• (with Alda Carvalho, Carlos P. Santos, Francisco Coelho, João Pedro Neto, and Sandra Vinagre) A Recursive Process Related to a Partizan Vari ation of Wythoff, Vol 12

• (with Fridrich Pillichshammer) The Figure of Merit of 2-dimensional Rank 2 Lattice Rules, Vol 5(3)

• (with Sami Assaf, Li-Chung Chen, Tegan Cheslack-Postava, Benjamin Cooper, Thomas Garrity, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Veli Kurt) Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I, Vol 12

• (with Ladislav Skula) The Cube of the Fermat Quotient, Vol 6
• (with Takashi Agoh) Generalized Convolution Identities for Stirling Numbers of the Second Kind, Vol 8(1)
• (with John B. Cosgrave) Extensions of the Gauss-Wilson Theorem, Vol 8(1)
• (with Takashi Agoh) Convolution Identities for Stirling Numbers of the First Kind, Vol 10
• (with Takashi Agoh) Convolution and Reciprocity Formulas for Bernoulli Polynomials, Vol 11

• (with Benjamin Barun, Robert Davis, Ashley Harrison, Jenna Noll, and Clifford Taylor) Compositions Constrained by Graph Laplacian Minors, Vol 13

• (with Anna Haensch) Primitive Prime Divisors in Zero Orbits of Polynomials, Vol 12

• (with Eric Duchêne and Sylvain Gravier) Solitaire Clobber Played on Hamming Graphs, Vol 8(1)

• (with Jorge Nuno Silva) Konane has Infinite Nim-dimension, Vol 8(1)
• (with Alda Carvalho, Cátia Lente Dias, Francisco Coelho, João Pedro Neto, and Sandra Vinagre) A Recursive Process Related to a Partizan Variation of Wythoff, Vol 12

• (with Nándor Sieben) Edge Animal Weak (1,2)-Achievement Games, Vol 12

• (with Jean-Marie De Koninck) On the Distance Between Smooth Numbers, Vol 11

• (with Neil Calkin, Kevin James, Shirley Law, Philip Lee, David Penniston, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)

• Positions of Value *2 in Generalized Domineering and Chess, Vol 5(1)

• (with Dan Liu and Tai-Man Tang) A Planar Integral Self-Affine Tile with Cantor Set Intersections With Its Neighbors, Vol 9

• (with Tomas Plankis) Periodicity of Some Recurrence Sequences Modulo m, Vol 8(1)

• (with Lois Blanc and Sylvain Gravier) A Deletion Game on Graphs: Le Pic Arête, Vol 6
• (with Paul Dorbec and Sylvain Gravier) Solitaire Clobber Played on Hamming Graphs, Vol 8(1)

• (with Vinko Petricevic) Square Roots with Many Good Approximants, Vol 5(3)
• Dujella, Andrej
• (with Saúl Díaz Alvarado and Florian Luca) On a Conjecture Regarding Balancing With Powers of Fibonacci Numbers, Vol 12A

• (with Kenneth A. Brown and Joshua Harrington) Arithmetic Progressions in the Polygonal Numbers, Vol 12

• Note on the Diophantine Equation X^t + Y^t = BZ^t, Vol 11

• (with Robert Erdahl and Konstantin Rybnikov) Perfect Delaunay Polytopes in Low Dimensions, Vol 7

• First Remark on a ζ-Analogue of the Stirling Numbers, Vol 11

E

• (with Li Guo) Multiple Zeta Values and Rota-Baxter Algebras, Vol 8(2)

• (with Jurgen Bierbrauer) Families of Nets of Low and Medium Strengths, Vol 5(3)

• (with Omer Yayenie) A New Generalization of Fibonacci Sequence and Extended Binet's Formula, Vol 9
• (with Scott Lewis and Omer Yayenie) The k-Periodic Fibonacci Sequence and an Extended Binet's Formula, Vol 11

• (with Toufik Mansour) Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers, Vol 5(1)

• (with Mizan R. Khan, Alan H. Stein, and Christian L. Yankov) Sums and Differences of the Coordinates of Points on Modular Hyperbolas Volume 9 Supplement

• (with A. Hajian) Hereditary Tiling Sets of the Integers, Vol 8(1)

• (with Daniel Lichtblau, Adam Strzebonski, and Stan Wagon) Frobenius Numbers by Lattice Point Enumeration, Vol 7

• (with Mohamud Mohammed) A WZ Proof of a "Curious" Identity, Vol 3

• The Number of Relatively Prime Subsets and Phi Functions for {m, m+1, ..., n}, Vol 7
• On the Number of Subsets of [1,m] Relatively Prime to n and Asymptotic Estimates, Vol 8(1)
• On Relatively Prime Subsets and Supersets, Vol 10

• (with Tanbir Ahmed, Jonathan J. Marler, and Hunter S. Snevily) Strict Schur Numbers, Vol 13

• (with Michel Kervaire) Restricted Sumsets in Finite Vector Spaces: The Case p=3, Vol 1
• (with Delphine Hachez) On Symmetric and Antisymmetric Balanced Binary Sequences, Vol 5(1)
• (with J.M. Marín and M.P. Revuelta) Zero-sum Balanced Binary Sequences, Vol 7(2)
• (with Jonathan Chappelon) On the Problem of Molluzzo for the Modulus 4, Vol 12

• (with Glenn H. Hurlbert) An Application of Graph Pebbling to Zero-Sum Sequences in Abelian Groups, Vol 5(1)

• (with Martin Stein) On the Value Distribution of Error Sums for Approximations With Rational Numbers, Vol 12

• Odd Incongruent Restricted Disjoint Covering Systems, Vol 12A

• The Diophantine Equation X⁴+Y⁴=D²Z⁴ in Quadratic Fields, Vol 12

• (with Dimitri Hendriks and Jan Willem Klop) Degrees of Streams, Vol 11b

• (with Neil J. Calkin, Julia Davis, Michelle Delcourt, Jobby Jacob, and Kevin James) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13

• (with Mathieu Dutour and Konstantin Rybnikov) Perfect Delaunay Polytopes in Low Dimensions, Vol 7

• A Note on the Exact Expected Length of the kth Part of a Random Partition, Vol 10

• More on the Fibonacci Sequence and Hassenberg Matrices, Vol 6

• (with Mark Shattuck) Combinatorial Proofs of Some Identities for the Fibonacci and Lucas Numbers, Vol 11

• (with Reza Akhtar and Dan Pritikin) Representation Numbers of Stars, Vol 10

• (with Amanda Bower, Victor Luo, and Steven J Miller) Coordinate Sum and Difference Sets of d-Dimensional Modular Hyperbolas, Vol 13

• (with Benjamin V. Holt) Deriving Divisibility Theorems with Burnside's Theorem, Vol 5(1)

• Number of Binomial Coefficeints Divisible by a Fixed Power of a Prime, Vol 8(1)
• Subprime Factorization and the Numbers of Binomial Coefficients Exactly Divided by Powers of a Prime, Vol 11

F

• (with Yong-Gao Chen) Triangular Numbers in Geometric Progression, Vol 7
• Nonexistence of a Geometric Progression that Contains Four Triangular Numbers, Vol 7
• (with Yong-Gao Chen) On N | φ(N)D(N)+2 and N | φ(N)σ(N)+1, Vol 8(1)
• Neither ∏ ⁿ_k=1 (4k²+1) Nor ∏ ⁿ_k=1 (2k(k-1)+1) is a Perfect Square, Vol 9

• (with David Adam and Jean-Luc Chabert) Subsets of Z With Simultaneous Orderings, Vol 10
• (with K. Johnson) The Characteristic Sequence and p-Orderings of the Set of d-th Powers of Integers, Vol 12

• On the Average Asymptotic Behavior of a Certain Type of Sequence of Integers, Vol 9

• An Identity in the Generalized Fibonacci Numbers and its Applications, Vol 9

• Irregularities of Distribution of Digital (0,1)-sequences in Prime Base, Vol 5(3)

• Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples, Vol 9

• (with Feng-Zhen Zhao) Some Results for Generalized Harmonic Numbers, Vol 9

• (with Pingzhi Yuan and Yongzhong Hu) On the Diophantine Equation x²-kxy+y²+lx=0, Vol 13

• (with Simone Rinaldi) Enumerations of Generalized Hook Partitions, Vol 5(1)

• (with Jayadev S. Athreya) Number Theory, Balls in Boxes, and the Asymptotic Uniqueness of Maximal Discrete Order Statistics, Vol 0

• (with Lenny Jones) On the Irreducibility of {-1,0,1}-Quadrinomials, Vol 6

• (with Neil J. Calkin and Timothy B. Flowers) Difference Density and Aperiodic Sum-Free Sets, Vol 5(2)

• A Generalization of an IMO Problem, Vol 6

• Subword Complexity and Laurent Series, Vol 11b

• Norm Euclidean Quaternionic Orders, Vol 11

• (with Leandro Junes) A Relation Between Triangular Numbers and Prime Numbers, Vol 11

• (with Hugues Randriam) On the Number of Carries Occurring in an Addition Mod 2^k-1, Vol 12

• (with Neil J. Calkin and Steven R. Finch) Difference Density and Aperiodic Sum-Free Sets, Vol 5(2)

• (with Florian Luca) The Number of Solutions of λ(x)=n, Vol 11A

• (with Rados Radoicic) On the Degree of Regularity of Generalized van der Waerden Triples, Vol 5(1)
• (with Boris Alexeev and Ron Graham) On Minimimal Colorings Without Monochromatic Solutions to a Linear Equation, Vol 7(2)
• (with Veselin Jungić and Radoš Radoičić) Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples, Vol 7(2)

• New Games Related to Old and New Sequences, Vol 4
• The Raleigh Game, Vol 7(2)
• (with Alex Kontorovich) The Sierpiński Sieve of Nim-varieties and Binomial Coefficients, Vol 7(2)
• (with Saúl A. Blanco) Tromping Games: Tiling With Trominoes, Vol 11A
• (with Yuval Tanny) A Class of Wythoff-Like Games, Vol 12B

• (with Susan Hirshberg and David Wolfe) The Structure of the Distributive Lattice of Games Born by Day n, Vol 5(2)

• (with Tomas Schonbek and Wandi Wei) On the Tennis Ball Problem, Vol 11

• (with Florian Luca and Mihai Stoiciu) On the Irrationality of a Divisor Function Series, Vol 7

• (with Scott M. Garrabrant and Adam Scott andsberg) Cofinite Induced Subgraphs of Impartial Combinatorial Games: An Analysis of CIS-Nim, Vol 13

• (with Guy Barat and Attila Petho) A Note on Linear Recurrent Mahler Numbers, Vol 5(3)

• (with James Sellers) Enumeration of the Degree Sequences of Line--Hamiltonian Multigraphs, Vol 12

• Diophantine Problems with Linear Recurrences via the Subspace Theorem, Vol 5(3)

G

• (with Arthur T. Benjamin and Robert Gaebler) A Combinatorial Approach to Hyperharmonic Numbers, Vol 3

• (with Arthur T. Benjamin and David Gaebler) A Combinatorial Approach to Hyperharmonic Numbers, Vol 3

• Distribution and Additive Properties of Sequences With Terms Involving Sumsets in Prime Fields, Vol 12

• (with Hernán Giraldo) Characterizations of Midy's Property, Vol 9

• (with Eric J. Friedman and Adam Scott Landsberg) Cofinite Induced Subgraphs of Impartial Combinatorial Games: An Analysis of CIS-Nim, Vol 13

• (with Sami Assaf, Li-Chung Chen, Tegan Cheslack-Postava, Benjamin Cooper, Alexander Diesl, Mathew Lepinski, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Joseph Palmer and Ha Ta) Self Generating Sets and Numeration Systems, Volume 9 Supplement

• (with Paul Yiu and K.R.S Sastry) Heron Sequences and Their Modifications, Volume 9 Supplement

• Zero Sums in Finite Cyclic Groups, Vol 0
• (with Alfred Geroldinger) On Zero-Sum Sequences in Z/nZ + Z/nZ, Vol 3
• (with Q. H. Hou, W. A. Schmid, and R. Thangadurai) On Short Zero-Sum Subsequences II, Vol 7
• (with Jiangtao Peng) On the Number of Zero-Sum Subsequences of Restricted Size, Vol 9
• (with Linlin Wang) The Maximal Cross Number of Unique Factorization Zero-sum Sequences Over A Finite Abelian Group, Vol 12

• (with Thomas Koshy) Triangular Numbers in the Jacobsthal Family, Vol 12

• (with Pontus Strimling) Nim with a Modular Muller Twist, Vol 4

• (with Peter Winkler) Two-Color Babylon, Vol 12

• Counting Finite Languages by Total Word Length, Vol 11

• Factorization of Constants Involved in Conjectural Moments of Zeta-functions, Vol 8(1)
• On the Equation a^x ≡x mod b, Vol 9

• (with Weidong Gao) On Zero-Sum Sequences in Z/nZ + Z/nZ, Vol 3

• (with Čerin, Zvonko) On Sums of Squares of Pell-Lucas Numbers, Vol 6

• Adjugates of Diophantine Quadruples, Vol 10

• (with John H. Jaroma) Sylvester: Ushering in the Modern Era of Research on Odd Perfect Numbers, Vol 3

• (with Gilberto García-Pulgarín) Characterizations of Midy's Property, Vol 9

• Digital Sums and Functional Equations, Vol 11

• Communal Partitions of Integers, Vol 11

• (with Mark Schlatter) Analyzing Two-Color Babylon, Vol 11

• (with Chang Mou Lim, Vince Lyzinski, and Nicholas George Triantafillou) Sharp Threshold Asymptotics for the Emergence of Additive Bases, Vol 13

• (with Erick B. Wong) Tight Instances of the Lonely Runner, Vol 6

• Edge Growth in Graph Squares, Vol 13

• Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins, Vol 9

• (with C. Y. Yildirim) Higher Correlations of Divisor Sums Related to Primes I: Triple Correlations, Vol 3
• (with A. H. Ledoan) On the Differences Between Consecutive Prime Numbers, I, Vol 12B

• (with Chuanan Wei) Euler's Pentagonal Number Theorem Implies the Jacobi Triple Product Identity, Vol 11

• (with Scott Duke Kominers) On Congruence Conditions for Primality, Vol 10

• (with Kevin A. Broughan, Ryan H. Lewis, Florian Luca, V. Janitzio Mejía Huguet, and Alain Togbé) There Are No Multiply-Perfect Fibonacci Numbers, Vol 11A

• (with Jocelyn Quaintance) Floor and Roof Function Analogs of the Bell Numbers, Vol 7
• (with Jocelyn Quaintance) Bell Numbers and Variant Sequences Derived from a General Functional Differential Equation, Vol 9

• (with Clemens Heuberger and Helmut Prodinger) Counting Optimal Joint Digit Expansions, Vol 5(3)

• On the Growth of a Van Der Waerden-Like Function, Vol 6
• (with Jacob Fox and Ron Graham) On Minimimal Colorings Without Monochromatic Solutions to a Linear Equation, Vol 7(2)
• (with Fan Chung) Universal Juggling Cycles, Vol 7(2)
• Some of My Favorite Problems in Ramsey Theory, Vol 7(2)

• The Square of the Fermat Quotient, Vol 4

• (with Antonio M. Oller-Marcén) On k-Lehmer Numbers, Vol 12

• (with Lois Blanc and Eric Duchêne) A Deletion Game on Graphs: Le Pic Arête, Vol 6
• (with Paul Dorbec and Eric Duchêne) Solitaire Clobber Played on Hamming Graphs, Vol 8(1)

• Extremal Problems About Asymptotic Bases: A Survey, Vol 7(2)
• (with L. Haddad, C. Helou, and J. Pihko) Supremum of Representation Functions, Vol 11

• (k+1)-Sums Versus k-Sums, Vol 12

• (with Michael H. Albert, Richard J. Nowakowski, and David Wolfe) An Introduction to Clobber, Vol 5(2)

• (with C. S. Owens) On Bounds for Two Davenport-type Constants, Vol 13

• On a Conjecture of Hamidoune for Subsequence Sums, Vol 5(2)
• (with Itziar Bardaji) Long Arithmetic Progressions in Small Sumsets, Vol 10

• (with George I. Bell and Daniel S. Hirschberg) The Minimum Size Required of a Solitaire Army, Vol 7

• (with Michael Z. Spivey) Counting Functions and Finite Differences, Vol 7
• Guersenzvaig, Natalio H.
• Simple Arithmetical Criteria for Irreducibility of Polynomials with Integer Coefficients, Vol 13

• (with William D. Banks and C. Wesley Nevans) On the Congruence N ≡ A (mod ϕ(N)), Vol 8(1)

• (with Shaun Cooper, Michael Hirschhorn, and B. Ramakrishnan) Relations Among Fourier Coefficients of Certain Eta Products, Vol 5(1)

• (with Kurusch Ebrahimi-Fard) Multiple Zeta Values and Rota-Baxter Algebras, Vol 8(2)

• (with Hao Pan and Zhi-Wei Sun) Mixed Sums of Squares and Triangular Numbers (II), Vol 7

• On the Least Common Multiple of Q-Binomial Coefficients, Vol 10

• (with B. Sury) Decimal Expansion of 1/p and Subgroup Sums, Vol 5(1)

• (with H. C. Williams) Some Monoapparitic Fourth Order Linear Divisibility Sequences, Vol 12A

• On Interpolating Power Series, Vol 13

• (with Chris Smyth) The Divisibility of aⁿ-bⁿ by Powers of n, Vol 10

H

• (with Alain Plagne) Ensembles B2[2]: L'Etau se Resserre, Vol 2

• (with Shalom Eliahou) On Symmetric and Antisymmetric Balanced Binary Sequences, Vol 5(1)

• (with Mark Budden, Nicole Calkins, Joshua Lambert, and Kimberly Thompson) Enumeration of Triangles in Quartic Residue Graphs, Vol 11

• (with C. Helou) Additive Bases Representations in Groups, Vol 8(2)
• (with G. Grekos, C. Helou, and J. Pihko) Supremum of Representation Functions, Vol 11

• (with Kevin Doerksen) Primitive Prime Divisors in Zero Orbits of Polynomials, Vol 12

• (with S. Eigen) Hereditary Tiling Sets of the Integers, Vol 8(1)

• (with John Cullinan) Primes of Prescribed Congruence Class in Short Intervals, Vol 12

• (with Norbert Hungerbuhler) An Application of van der Waerden's Theorem in Additive Number Theory, Vol 0

(with Jan-Christoph Schlage-Puchta) Achieving Snaky, Vol 7
• (with Gautami Bhowmik and Jan-Christoph Schlage-Puchta) Inductive Methods and Zero-sum Free Sequences, Vol 9

• (with H. Masubuchi) Recurrence Formulae for Multi-poly-Bernoulli Numbers, Vol 7

• (with Izabella Łaba) Arithmetic Structures in Random Sets, Vol 8(1)
• (with Spencer Backman, Ernie Croot, and Derrick Hart) Sum-Product Inequalities With Perturbation, Vol 11A

• (with Peter F. Blanchard and Rogério Reis) Partitions into Sum-free Sets, Vol 6

• (with Lenny Jones) On the Iteration of a Function Related to Euler's φ-Function, Vol 10
• (with Kenneth A. Brown and Scott M. Dunn) Arithmetic Progressions in the Polygonal Numbers, Vol 12

• (with Benjamin Braun, Robert Davis, Jessica Doering, Jenna Noll, and Clifford Taylor) Compositions Constrained by Graph Laplacian Minors, Vol 13

• (with Spencer Backman, Ernie Croot, and Mariah Hamel) Sum-Product Inequalities With Perturbation, Vol 11A

• (with Reinhold Kainhofer and Volker Ziegler) On the Corner Avoidance Properties of Various Low-discrepancy Sequences, Vol 5(3)

• (with Philip Henderson) Captured-Reversible Moves and Star Decomposition Domination in Hex, Vol 13

• (with Florin P. Boca and Paul Spiegelhalter) Gap Distribution of Farey Fractions Under Some Divisibility Constraints, Vol 13

• (with Urban Larsson) Permutations of the Natural Numbers with Prescribed Difference Multisets, Vol 6
• An Improved Upper Bound on the Maximum Size of k-Primitive Sets, Vol 6
• The Inverse Problem for Representation Functions for General Linear Forms, Vol 8(1)
• A Cauchy-Davenport Type Result for Arbitrary Regular Graphs, Vol 11

• (with Phil Moore, Payam Samidoost, and George Woltman) Resolution of the Mixed Sierpiński Problem, Vol 8(1)

• (with L. Hadda) Additive Bases Representations in Groups, Vol 8(2)
• (with G. Grekos, L. Haddad, and J. Pihko) Supremum of Representation Functions, Vol 11

• (with Ryan B. Hayword) Captured-Reversible Moves and Star Decomposition Domination in Hex, Vol 13

• (with Vincent D. Blondel and Raphaël M. Jungers) Solitaire Clobber as an Optimization Problem on Words, Vol 8(1)

• (with Jörg Endrullis and Jan Willem Klop) Degrees of Streams, Vol 11b

• (with Florian Luca) A Note on Deaconescu's Result Converning Lehmer's Problem, Vol 8(1)

• (with Toufik Mansour) Counting Rises, Levels, and Drops in Compositions, Vol 5(1)
• (with Toufik Mansour) Enumeration of 3-letter Patterns in Compositions, Vol 7(2)

• (with Peter J. Grabner and Helmut Prodinger) counting Optimal Joint Digit Expansions, Vol 5(3)

• (with Pete L. Clark, Katherine Thompson, and Nathan Walters) GoNII: Universal Quaternary Quadratic Forms, Vol 12
• (with Pete L. Clark, Hans Parshall, and Katherine Thompson) GoNI: Primes Represented by Binary Quadratic Forms, Vol 13

• (with Amir Maleki and Dona Strauss) Linear Equations in the Stone-Cech Compactification of N, Vol 0
• (with Tomothy J. Carlson and Dona Strauss) Ramsey Theoretic Consequences of Some New Results About Algebra in the Stone-Cech Compactification, Vol 5(2)
• Partition Regularity of Matrices, Vol 7(2)
• Small Sets Satisfying the Central Sets Theorem, Volume 9 Supplement
• Monochromatic Sums Equal to Products in N, Vol 11A
• (with John H. Johnson) Images of C-Sets and Related Large Sets Under Nonhomogeneous Spectra, Vol 12B

• (with Jeff Amos, S. T. Chapman, and João Paixão) Sets of Lengths Do Not Characterize Numerical Monoids, Vol 7

• (with Dawn Curtis, Glenn Hurlbert, and Tatiana Moyer) On Pebbling Graphs By Their Blocks, Vol 9

• (with George I. Bell and Pablo Guerrero-García) The Minimum Size Required of a Solitaire Army, Vol 7

• (with Shaun Cooper) A Combinatorial Proof of a Result from Number Theory, Vol 4
• (with James A. Sellers) An Infinite Family of Overpartition Congruences Modulo 12, Vol 5(1)
• (with Shaun Cooper, Sanoli Gun, and B. Ramakrishnan) Relations Among Fourier Coefficients of Certain Eta Products, Vol 5(1)
• (with Øystein J. Rødseth and James A. Sellers) Infinite Families of Divisibility Properties Modulo 4 For Non-Squashing Partitions Into Distinct Parts, Vol 9

• (with William Fraser and David Wolfe) The Structure of Distributive Lattice of Games Born by Day n, Vol 5(2)

• (with Grant Cairns) Min, A Combinatorial Game Having a Connection With Prime Numbers, Vol 10

• Squares in (1²+m²)...(n²+m²), Vol 9

• (with D.G. Horrocks) Geography Played on an N-cycle Times a 4-cycle, Vol 3

• Arithmetic on Blocks, Vol 4

• (with Takao Komatsu) On the Sum of Reciprocal Generalized Fibonacci Numbers, Vol 11A

• (with Harold Reiter and James Rudzinski) Pilesize Dynamic One-pile Nim and Beatty's Theorem, Vol 4

• (with Tyler J. Evans) Deriving Divisibility Theorems with Burnside's Theorem, Vol 5(1)

• (with James A. Sellers) Exact Enumeration of Garden of Eden Partitions, Vol 7(2)
• (with Jenny Buontempo) Tableau Cycling and Catalan Numbers, Vol 7
• Column-To-Row Operations on Partitions: The Envelopes, Volume 9 Supplement
• Spotted Tilings and n-Color Compositions, Vol 12B

• (with Jeffrey Stopple) Lower Bounds for the Principal Genus of Definite Binary Quadratic Forms, Vol 10

• (with R. J. Nowakowski) Regularity in the G-Sequences of Octal Games with a Pass, Vol 3
• (with M. S. Hogan) Geography Played on an N-cycle Times a 4-cycle, Vol 3
• (with M. A. Trenton) Subtraction with a Muller Twist, Vol 8(1)

• (with Andries E. Brouwer, Ildiko Molnar-Saska, and Csaba Szabo) On Three-rowed Chomp, Vol 5(1)

• (with W. D. Gao, W. A. Schmid, and R. Thangadurai) On Short Zero-Sum Subsequences II, Vol 7
• (with Toufik Mansour and Simone Severini) Partial Transposes of Permutation Matrices, Vol 8(1)

• (with Li Feng and Pingzhi Yuan) On the Diophantine Equation x²-kxy+y²+lx=0, Vol 13

• (with Kevin A. Broughan, Marcos J. González, Ryan H. Lewis, Florian Luca, and Alain Togbé) There Are No Multiply-Perfect Fibonacci Numbers, Vol 11A

• (with Wai Yan Pong) Diophantine Equations of Matching Games I, Vol 11

• Extending Nathanson Heights to Arbitrary Finite Fields, Vol 12

• (with Lorenz Halbeisen) An Application of van der Waerden's Theorem in Additive Number Theory, Vol 0
• (with Ernst Specker) A Generalization of the Smarandache Function to Several Variables, Vol 6

• (with Shawn Elledge) An Application of Graph Pebbling to Zero-Sum Sequences in Abelian Groups, Vol 5(1)
• (with Dawn Curtis, Taylor Hines, and Tatiana Moyer) On Pebbling Graphs By Their Blocks, Vol 9

I

• (with Alexia S. Mintos) On Consecutive Integer Pairs with the Same Sum of Distinct Prime Divisors, Vol 5(1)
• On a Variation of Perfect Numbers, Vol 6

• (with Ray Chandler) A Characterization of All Equilateral Triangles in Z³, Vol 8(1)
• (with Rodrigo A. Obando) Cubes in {0,1,...,n}³, Vol 12A

• (with Cristian Cobeli and Alexandru Zaharescu) The Relative Size of Consecutive Odd Denominators in Farey Series, Vol 3

• (with I. Laba) K-distance Sets, Falconer Conjecture, and Discrete Analogs, Vol 5(2)
• (with M. Rudnev) Powder Diffraction from a Combinatorial and Analytic Viewpoint, Vol 8(2)
• (with Jeremy Chapman) On Rapid Generation of SL₂(F_q), Vol 9
• Iosevich, Alex
• (with Hannah Morgan and Jonathan Pakianathan) On Directions Determined by Subsets of Vector Spaces Over Finite Fields, Vol 11

• (with Taizo Sadahiro) Beta-Expansions With Negative Bases, Vol 9

J

• (with Neil J. Calkin, Julia Davis, Michelle Delcourt, Zebediah Engberg, and Kevin James) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13

• (with Mark Schlatter) Some Observations and Solutions to Short and Long Global Nim, Vol 8(1)

• (with Morgan V. Brown, Neil J. Calkin, Adam J. King, Shannon Lockard, and Robert C Rhoades) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6
• (with Neil Calkin, Nate Drake, Shirley Law, Philip Lee, David Penniston, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)
• (with Neil J. Calkin, Julia Davis, Michelle Delcourt, Zebediah Engberg, and Jobby Jacob) Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach, Vol 13

• (with Steven Gimbel) Sylvester: Ushering in the Modern Era of Research on Odd Perfect Numbers, Vol 3

• (with Jamie Simpson) Composite Covering Systems of Minimum Cardinality, Vol 3

• (with Yong-Gao Chen) Catalan Numbers Modulo a Prime Power, Vol 13

• Introduction of Nonstandard Methods for Number Theorists, Vol 8(2)

• (with Neil Hindman) Images of C-Sets and Related Large Sets Under Nonhomogeneous Spectra, Vol 12B

• (with D. Patterson) Projective p-Orderings and Homogeneous Integer-Valued Polynomials, Vol 11
• (with Y. Fares) The Characteristic Sequence and p-Orderings of the Set of d-th Powers of Integers, Vol 12

• (with Carrie Finch) On the Irreducibility of {-1,0,1}-Quadrinomials, Vol 6
• (with Joshua Harrington ) On the Iteration of a Function Related to Euler's φ-Function, Vol 10
• Fibonacci Variations of a Conjecture of Polignac, Vol 12
• (with Daniel White) Sierpiński Numbers in Imaginary Quadratic Fields, Vol 12A

• Mathematics of Ghaly's Machine, Vol 6

• (with Rigoberto Flórez) A Relation Between Triangular Numbers and Prime Numbers, Vol 11

• (with Vincent D. Blondel and Julien M. Hendrickx) Solitaire Clobber as an Optimization Problem on Words, Vol 8(1)

• (with Radoš Radoičić) Rainbow 3-term Arithmetic Progressions, Vol 3
• (with Jaroslav Nesetril and Radoš Radoičić) Rainbow Ramsey Theory, Vol 5(2)
• (with Jacob Fox and Radoš Radoičić) Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples, Vol 7(2)
• (with Hayri Ardal, Tom Brown, and Julian Sahasrabudhe) On Abelian and Additive Complexity in Infinite Words, Vol 12

K

• (with Bilal Khan and Kiran R. Bhutani) A Graphic Generalization of Arithmetic, Vol 7

• (with Jurgen Hartinger and Volker Ziegler) On the Corner Avoidance Properties of Various Low-discrepancy Sequences, Vol 5(3)

• (with Karma Dajani) Transformations Generating Negative β-Expansions, Vol 11b

• On 3-Adic Valuations of Generalized Harmonic Numbers, Vol 11
• Kamano, Ken
• (with Yasuo Ohno and Shuji Yamamoto) Weighted Lonesum Matrices and Their Generating Function, Vol 13

• New Bounds on the Number of Representations of t as a Binomial Coefficient, Vol 4
• On the Number of Ways of Writing t as a Product of Factorials, Vol 5(1)
• Improved Bounds on the Number of Ways of Expressing t as a Binomial Coefficient, Vol 7
• On Solving Games Constructed Using Both Short and Long Conjunctive Sums, Vol 10

• On Normal Numbers and Powers of Algebraic Numbers, Vol 10

• (with Hiren Maharaj) Distance Graphs From p-Adic Norms, Vol 10

• (with S. K. Pattanayak) Normality, Projective Normality and EGZ Theorem, Vol 11

• (with Richard M. Low) Further Analysis on the "King and Rook vs. King on a Quarter-infinite Board" Problem, Vol 7

• Sumbers -- Sums of Ups and Downs, Vol 5(1)

• (with Dan Levy) GCD of Truncated Rows in Pascal's Triangle, Vol 4

• Flat Cyclotomic Polynomials of Order Four and Higher, Vol 10

• (with Pantelimon Stănică, Santanu Sarkar, Sourav Sen Gupta, and Subhamoy Maitra) Counting Heron triangles with Constraints, Vol 13

• Balanced Subset Sums in Dense Sets of Integers, Vol 9

• A Multitude of Expressions for the Stirling Numbers of the First Kind, Vol 10

• Convergence in Möbius Number Systems, Vol 9

• Understanding Ergodicity, Vol 11b

• (with James A. Sellers and Robert G. Vary) Some Arithmetic Properties of Overpartition k-Tuples, Vol 9

• Sequences of Density ζ(k) - 1, Vol 10
• Recursively Self-Conjugate Partitions, Vol 11A

• On Asymptotic Constants Related to Products of Bernoulli Numbers and Factorials, Vol 9

• (with Donatella Merlini and Bruce Richmond) Maximum Stirling Numbers of the Second Kind, Vol 8(1)

• (with Shalom Eliahou) Restricted Sumsets in Finite Vector Spaces: The Case p=3, Vol 1

• (with Kiran R. Bhutani and Delaram Kahrobaei) A Graphic Generalization of Arithmetic, Vol 7

• (with Dennis Eichhorn, Alan H. Stein, and Christian L. Yankov) Sums and Differences of the Coordinates of Points on Modular Hyperbolas, Volume 9 Supplement
• Modular Hyperbolas and the Coefficients of (x^-1+6+x)^k, Vol 11A

• (with Bruce Landman) Recent Progress in Ramsey Theory on the Integers, Vol 7(2)

• (with Matthias Beck) An Extreme Family of Generalized Frobenius Numbers, Vol 11

• (with Mohamed Ayad) The Number of Relatively Prime Subsets of {1, 2, ..., n}, Vol 9
• (with Mohamed Ayad) On Relatively Prime Sets, Vol 9

• (with Elif Tan) Binomial Sums for the General Second Order Linear Recurrence, Vol 10
• Kılıccedil;, Emrah
• Some Weighted Sums of Products of Lucas Sequences, Vol 13

• The Overpartition Function Modulo 128, Vol 8(1)

• Codes Associated With O⁺(2n,2^r) and Power Moments of Kloosterman Sums, Vol 11
• An Infinite Family of Recursive Formulas Generating Power Moments of Kloosterman Sums with Trace One Arguments: O(2n+1, 2^r) Case, Vol 13

• (with Morgan V. Brown, Neil J. Calkin, Kevin James, Shannon Lockard, and Robert C Rhoades) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6

• (with Michael H. Mertens) On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves, Vol 13

• On Multi-avoidance of Right Angled Numbered Polyomino Patterns, Vol 4
• (with Tyrrell B. McAllister and T. Kyle Petersen) Enumerating Segmented Patterns in Compositions and Encoding by Restricted Permutations, Vol 6
• (with Toufik Mansour and Patrice Séébold) Counting Ordered Patterns in Words Generated by Morphisms, Vol 8(1)
• (with Jeffrey Remmel) Place-Difference-Value Patterns: A Generalization of Generalized Permutation and Word Patterns, Vol 10

• Generalized Davenport-Schinzel Sequences: Results, Problems, and Applications, Vol 2

• (with Jörg Endrullis and Dimitri Hendriks) Degrees of Streams, Vol 11b

• (with Edita Pelantová) Factor Complexity of Infinite Words Associated With Non-Simple Parry Numbers, Vol 9
• (with L'ubomira Balková and Edita Pelantová) Critical Exponent of Infinite Words Coding Beta-Integers Associated with Non-Simple Parry Numbers, Vol 11b

• (with Jonathan Bayless) On the Sum of Reciprocals of Amicable Numbers, Vol 11A
• (with Jonathan Bayless and Tomás Oliveira e Silva) New Bounds and Computations on Prime-Indexed Primes, Vol 13

• (with Michael D. Paul) On Weakly Complete Sequences Formed by the Greedy Algorithm, Vol 12

• (with M. E. Mays) Graph Compositions I: Basic Enumeration, Vol 1

• (with Chun-Yen Shen) Additive Energy and the Falconer Distance Problem in Finite Fields, Vol 13

• A Connection Between Ordinary Partitions and Tilings with Dominoes and Squares, Vol 7

• A Proof of the Continued Fraction Expansion of e^2/s, Vol 7
• Some Combinatorial Properties of the Leaping Convergents, Vol 7(2)
• (with Chris K. Caldwell) Powers of Sierpiński Numbers Base B, Vol 10
• (with Sarah H. Holliday) On the Sum of Reciprocal Generalized Fibonacci Numbers, Vol 11 A
• (with Florian Luca and Yohei Tachiya) On the Multiplicative Order of F_n+1/F_n Modulo F_m, Vol 12B

• On Universal Binary Hermitian Forms, Vol 9
• (with Sherry) On Congruence Conditions for Primality, Vol 10

• (with Paola Loreti) Universal Expansions in Negative and Complex Bases, Vol 10
• Komornik, Vilmos
• Expansions in Noninteger Bases, Vol 11b

• (with Aviezri Fraenkel) The Sierpiński Sieve of Nim-varieties and Binomial Coefficients, Vol 7(2)

• (with Vsevelod F. Lev) On the Distribution of Exponential Sums, Vol 0

• On the Product of Log-Concave Polynomials, Vol 6

• Selmer's Multiplicative Algorithm, Vol 11

• (with Zhenguang Gao) Triangular Numbers in the Jacobsthal Family, Vol 12

• Computing the Van der Waerden Number W(3,4)=293, Vol 12

• A New Upper Bound on the Star Discrepancy of (0,1)-sequences, Vol 5(3)

• On Congruence Properties of Consecutive Values of p(n,m), Vol 7
• A Result on Ramanujan-Like Congruence Properties of the Restricted Partition Function p(n,m) Across Both Variables, Vol 12

• (with Helmut Prodinger and Carsten Schneider) Generalized Reciprocity Laws for Sums of Harmonic Numbers, Vol 8(1)
• (with Helmut Prodinger) A Note on Stirling Series, Vol 10

• Decomposition of Pascal's Kernels Mod ps, Vol 2

• On Sums of Primes from Beatty Seqeuences, Vol 8(1)

• (with Jeffrey C. Lagarias and Carl Pomerance) On Sets of Integers Which Are Both Sum-Free and Product-Free, Vol 12B

• (with Ayhan Dil) Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I, Vol 12

• (with Jocelyn Quaintance) A Combinatorial Interpretation of the Catalan and Bell Number Difference Tables, Vol 13

L

• (with A. Iosevich) K-distance Sets, Falconer Conjecture, and Discrete Analogs, Vol 5(2)
• (with Mariah Hamel) Arithmetic Structures in Random Sets, Vol 8(1)

• (with Pär Kurlberg and Carl Pomerance) On Sets of Integers Which Are Both Sum-Free and Product-Free, Vol 12B

• The Number of Representations by Sums of Squares and Triangular Numbers, Vol 7
• (with Shaun Cooper and Dongxi Ye) Representations of Squares by Certain Septenary Quadratic Forms, Vol 13

• (with Mark Budden, Nicole Calkins, William Nathan Hack, and Kimberly Thompson) Enumeration of Triangles in Quartic Residue Graphs, Vol 11

• (with Clay Culver and Aaron Robertson) Some New Exact van der Waerden Numbers, Vol 5(2)
• (with Abdollah Khodkar) Recent Progress in Ramsey Theory on the Integers, Vol 7(2)

• (with Scott M. Garrabrant and Eric J. Friedman) Cofinite Induced Subgraphs of Impartial Combinatorial Games: An Analysis of CIS-Nim, Vol 13

• (with Peter Hegarty) Permutations of the Natural Numbers with Prescribed Difference Multisets, Vol 6
• 2-Pile Nim with a Restricted Number of Move-size Imitations, Vol 9
• A Generalized Diagonal Wythoff Nim, Vol 12

• (with Holly Swisher) A Combinatorial Proof of a Recursive Formula for Multipartitions, Vol 11

• (with Neil Calkin, Nate Drake, Kevin James, Philip Lee, David Penniston, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)

• (with Matt Walsh) A Characterization of Lattice-ordered Graphs, Vol 7(2)

• (with A. Zaharescu) Square-Full Divisors of Square-Full Integers, Vol 10
• (with D. A. Goldston) On the Differences Between Consecutive Prime Numbers, I, Vol 12B

• Infinitely Often Dense Bases for the Integers with a Prescribed Representation Function, Vol 10
• Algebraic Proof for the Geometric Structure of Sumsets, Vol 11A

• (with Neil Calkin, Nate Drake, Kevin James, Shirley Law, David Penniston, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)

• (with Sylvie Corteel and Carla D. Savage) Five Guidelines for Partition Analysis with Applications to Lecture Hall-type Theorems, Vol 7(2)

• On the Order of Lacunary Sums of Binomial Coefficients, Vol 3
• (with Gregory Tollisen) A Congruential Identity and the 2-adic Order of Lacunary Sums of Binomial Coefficients, Vol 4
• An Invariant Sum Related to Record Statistics, Vol 7
• On Divisibility of Some Power Sums, Vol 7
• Alternative Proofs on the 2-Adic Order of Stirling Numbers of the Second Kind, Vol 10
• On Divisibility Properties of Some Differences of the Central Binomial Coefficients and Catalan Numbers, Vol 13

• (with Sami Assaf, Li-Chung Chen, Tegan Cheslack-Postava, Benjamin Cooper, Alexander Diesl, Thomas Garrity, and Adam Schuyler) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Gwenäel Richomme) A Combinatorial Proof of S-adicity for Sequences with Linear Complexity, Vol 13

• (with Aaron Robertson) On Monochromatic Ascending Waves, Vol 7(2)

• (with Sergei V. Konyagin) On the Distribution of Exponential Sums, Vol 0
• Distribution of Points on Arcs, Vol 5(2)
• More on Points and Arcs, Vol 7(2)
• (with Andraás Sárközy) An Erdős-Fuchs Type Theorem for Finite Groups, Vol 11A

• (with Gil Kaplan) GCD of Truncated Rows in Pascal's Triangle, Vol 4

• (with Kevin A. Broughan, Marcos J. González, Florian Luca, V. Janitzio Mejía Huguet, and Alain Togbé) There Are No Multiply-Perfect Fibonacci Numbers, Vol 11A

• (with Marcia Edson and Omer Yayenie) The k-Periodic Fibonacci Sequence and an Extended Binet's Formula, Vol 11

• Midy's Theorem for Periodic Decimals, Vol 7

• (with Wen An Liu, Haifeng Li, and Yingbin Ma) On Supplements of 2 x m Board in Toppling Towers, Vol 12

• (with Wen An Liu, Yingbin Ma, and Bei Li) On Supplements of 2 x m Board in Toppling Towers, Vol 12

• (with Young-Ming Chen and Eng-Tjioe Tan) Counting Determinants of Fibonacci-Hessenberg Matrices Using LU Factorizations, Vol 9

• (with Hengcai Tang) On a Theorem of Prachar Involving Prime Powers, Vol 11

• An Explicit Formula for Hecke L-functions, Vol 8(2)
• On the Euler Product of Some Zeta Functions, Volume 9 Supplement

• (with Thomas W. Cusick and Pantelimon Stănică) On a Combinatorial Conjecture, Vol 11

• (with Min Tang) A Remark on a Paper of Luca and Walsh, Vol 11

• (with Vladimír Baláž and Oto Strauch) Distribution Functions of the Sequence φ(M)/M, M ∈ (K,K+N] As K, N Go to Infinity, Vol 10

• (with David Einstein, Adam Strzebonski, and Stan Wagon) Frobenius Numbers by Lattice Point Enumeration, Vol 7

• (with Anant Godbole, Vince Lyzinski, and Nicholas George Triantafillou) Sharp Threshold Asymptotics for the Emergence of Additive Bases, Vol 13

• Partial Nim, Vol 5(1)

• Odd Catalan Numbers Modulo 2^k, Vol 11

• A Note on the q-Binomial Rational Root Theorem, Vol 9

• On the Property P_-1, Vol 7
• On the Diophantine Equation x² + 3^m = yⁿ, Vol 8(1)
• On the Conditioned Binomial Coefficients, Vol 11

• A Multivariate Arithmetic Function of Combinatorial and Topological Significance, Vol 10

• (with Vladimir Shevelev) On Factorization of Integers with Restrictions on the Exponents, Vol 7

• (with Shu-Juan Duan and Tai-Man Tang) A Planar Integral Self-Affine Tile with Cantor Set Intersections With Its Neighbors, Vol 9

• (with Haifeng Li, Yingbin Ma, and Bei Li) On Supplements of 2 x m Board in Toppling Towers, Vol 12

• Some Theta Functions Identities Associated with the Modular Equations of Degree 5, Vol 1

• (with Melvyn B. Nathanson) On a Partition Problem of Canfield and Wilf, Vol 12A

• (with Morgan V. Brown, Neil J. Calkin, Kevin James, Adam J. King, and Robert C Rhoades) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6

• (with Carla D. Savage) Generalizing the Combinatorics of Binomial Coefficients Via l-Nomials, Vol 10

• (with Peter Stoll) The 3x+1 Conjugacy Map Over a Sturmian Word, Vol 9
• López, Josefina
• (with Peter Stoll) The 2-Adic, Binary and Decimal Periods of 1/3^k Approach Full Complexity for Increasing k, Vol 12

• (with Florian Luca) On Totient Abundant Numbers, Vol 8(1)

• (with Vilmos Komornik) Universal Expansions in Negative and Complex Bases, Vol 10

• (with Robert Osburn) Quadratic Forms and Four Partition Functions Modulo 3, Vol 11

• The General gcd-Product Function, Vol 6
• Corrigendum to Article A19, Volumer 6 (The General gcd-Product Function), Vol 6
• A Congruence for Products of Binomial Coefficients Modulo a Composite, Vol 7

• (with Mark Stamp) King and Rook Vs. King on a Quarter-Infinite Board, Vol 6
• (with Siddhartha Kanungo) Further Analysis on the "King and Rook vs. King on a Quarter-infinite Board" Problem, Vol 7

• (with Lin Ma) Congruences for Hyper m-ary Overpartition Functions, Vol 10

• (with Jean-Marie De Koninck) On Strings of Consecutive Economical Numbers of Arbitrary Length, Vol 5(2)
• (with John B. Friedlander and Mihai Stoiciu) On the Irrationality of a Divisor Function Series, Vol 7
• (with Carl Pomerance) Irreducible Radical Extensions and Euler-function Chains, Vol 7(2)
• (with Paul Loomis) On Totient Abundant Numbers, Vol 8(1)
• (with Santos Hernández Hernández) A Note on Deaconescu's Result Converning Lehmer's Problem, Vol 8(1)
• (with Florin Nicolae) φ(F_n)=F_m, Vol 9
• (with László Szalay) Lucas Diophantine Triples, Vol 9
• (with Carl Pomerance) On the Range of the Iterated Euler Function, Volume 9 Supplement
• (with Kevin A. Broughan and Igor E. Shparlinski) Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem, Vol 10
• (with R. Balasubramanian) On the Number of Factorizations of an Integer, Vol 11
• (with Herman te Riele) Aliquot Cycles of Repdigits, Vol 11
• (with William D. Banks) Power Totients With Almost Primes, Vol 11A
• (with Kevin A. Broughan, Marcos J. González, Ryan H. Lewis, V. Janitzio Mejía Huguet, and Alain Togbé) There Are No Multiply-Perfect Fibonacci Numbers, Vol 11A
• (with Kevin Ford) The Number of Solutions of λ(x)=n, Vol 11A
• (with Paul Thomas Young) Coincidences of Catalan and q-Catalan Numbers, Vol 11A
• (with Saúl Díaz Alvarado and Andrej Dujella) On a Conjecture Regarding Balancing With Powers of Fibonac ci Numbers, Vol 12A
• (with Takao Komatsu and Yohei Tachiya) On the Multiplicative Order of F_n+1/F_n Modulo F_m, Vol 12B
• (with Roger Oyono) The Diophantine Equation F_n^y + F_n+1^x = F_m^x, Vol 13

• (with Alain Togbé and Pingzhi Yuan) On Some Equations Related to Ma's Conjecture, Vol 11

• (with Amanda Bower, Ron Evans, and Steven J Miller) Coordinate Sum and Difference Sets of d-Dimensional Modular Hyperbolas, Vol 13

• (with Arie Bialostocki) An Analogue of the Erdős-Ginzburg-Ziv Theorem for Quadratic Symmetric Polynomials, Vol 9

• (with Anant Godbole, Chang Mou Lim, and Nicholas George Triantafillou) Sharp Threshold Asymptotics for the Emergence of Additive Bases, Vol 13

M

• (with Qing-Lin Lu) Congruences for Hyper M-ary Overpartitioin Functions, Vol 10

• (with Wen An Liu, Haifeng Li, and Bei Li) On Supplements of 2 x m Board in Toppling Towers, Vol 12

• (with Miloud Mihoubi) The (r₁,...,r_p)-Stirling Numbers of the Second Kind, Vol 12

• (with Jonathan Sondow) Reducing the Erdős-Moser Equation 1ⁿ + 2ⁿ + ... + kⁿ = (k+1)ⁿ Modulo k and k², Vol 11

• (with Jeong-Hyun Kang) Distance Graphs From p-Adic Norms, Vol 10

• (with Pantelimon Stănică, Santanu Sarkar, Sourav Sen Gupta, and Nirupam Kar) Counting Heron triangles with Constraints, Vol 13

• (with Neil Hindman and Dona Strauss) Linear Equations in the Stone-Cech Compactification of N, Vol 0

• (with Maria Axenovich) On Monchromatic Subsets of a Rectangular Grid, Vol 8(1)
• (with Jeremy F. Alm) A New Approach to the Results of Kövari, Sós, and Turán Concerning Rectangle-Free Subsets of the Grid, Vol 12

• (with Eric S. Egge) Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers, Vol 5(1)
• (with Silvia Heubach) Counting Rises, Levels, and Drops in Compositions, Vol 5(1)
• (with Silvia Heubach) Enumeration of 3-letter Patterns in Compositions, Vol 7(2)
• (with Sergey Kitaev and Patrice Séébold) Counting Ordered Patterns in Words Generated by Morphisms, Vol 8(1)
• (with Qing-Hu Hou and Simone Severini) Partial Transposes of Permutation Matrices, Vol 8(1)
• (with Mark Shattuck) A Recurrence Related to the Bell Numbers, Vol 11
• (with Mark Shattuck) Avoiding Type (1,2) or (2,1) Patterns in a Partition of a Set, Vol 12

• Filters and Subgroups Associated with Hartman Measurable Functions, Vol 5(3)

• (with J.L. Ramírex Alfonsín and M.P. Revuelta) On the Frobenius Number of Fibonacci Numerical Semigroups, Vol 7
• (with S. Eliahou and M.P. Revuelta) Zero-sum Balanced Binary Sequences, Vol 7(2)

• (with Tanbir Ahmed, Michael G. Eldredge, and Hunter S. Snevily) Strict Schur Numbers, Vol 13

• On Elementary Lower Bounds for the Partition Function, Vol 3

• Generalizations of Midy's Theorem on Repeating Decimals, Vol 7

• (with András Csernenszky and András Pluhár) On the Complexity of Chooser-Picker Positional Games, Vol 11

• (with Peter Peter Baláži and Edita Pelantová) Complete Characterization of Substitution Invariant Sturmian Sequences, Vol 5(1)
• (with Pierre Arnoux, Valérie Berthé, and Edita Pelantová) Sturm Numbers and Substitution Invariance of 3iet Words, Vol 8(1)
• (with Peter Peter Baláži and Edita Pelantová) Characterization of Substitution Invariant Words Coding Exchange of Three Intervals, Vol 8(1)

• (with Y. Hamahata) Recurrence Formulae for Multi-poly-Bernoulli Numbers, Vol 7

• On a Special Congruence of Carlitz, Vol 6

• On the Integers Nonrepresentable by a Generalized Arithmetic Progression, Vol 5(2)
• (with Rhett S. Robinson) A Variant of the Frobenius Problem and Generalized Suzuki Semigroups, Vol 7(2)
• Frobenius Numbers of Generalized Fibonacci Semigroups, Volume 9 Supplement

• A Note on Boolean Lattices and Farey Sequences, Vol 7
• A Note on Boolean Lattices and Farey Sequences II, Vol 8(1)

• (with Josep M. Brunat) Symmetries in Steinhaus Triangles and in Generalized Pascal Triangles, Vol 11

• (with A. Knopfmacher) Graph Compositions I: Basic Enumeration, Vol 1

• On Mod p Logarithms log_a b and lob_b a, Vol 6

• (with Sergey Kitaev and T. Kyle Petersen) Enumerating Segmented Patterns in Compositions and Encoding by Restricted Permut ations, Vol 6

• Binomial Coefficient-Harmonic Sum Identities Associated to Supercongruences, Vol 11

• (with Richard Nowakowski) Cutthroat, an All-Small Game on Graphs, Vol 5(2)

• (with Richard J. Nowakowski) Outcomes of Partizan Euclid, Vol 12B

• Combinatorial Identities Deriving from the nth Power of a 2 x 2 Matrix, Vol 4
• (with B. Sury) Powers of a Matrix and Combinatorial Identities, Vol 5(1)
• (with B. Sury) Some Observations on Khovanskii's Matrix Methods for Extracting Roots of Polynomials, Vol 7
• (with Andrew V. Sills) Combinatorics of Ramanujan-Slater Type Identities, Volume 9 Supplement

• (with Sirawich Chinwarakorn) Lerch's Theorems Over Function Fields, Vol 10

• (with John Selfridge) The 392 Problem, Vol 12A

• Analogues of Two Classical Theorems on the Representations of a Number, Vol 8(1)
• Analogues of Jacobi's Two-Square Theorem: An Informal Account, Vol 10
• On Product Difference Fibonacci Identities, Vol 11
• On Finite Sums of Good and Shar that Involve Reciprocals of Fibonacci Numbers, Vol 12
• Finite Sums that Involve Reciprocals of Products of Generalized Fibonacci Numbers, Vol 13

• Newman Polynomials, Reducibility, and Roots on the Unit Circle, Vol 12
• Newman Polynomials Not Vanishing on the Unit Circle, Vol 12

• (with Renzo Sprugnoli) A Riordan Array Proof of a Curious Identity, Vol 2
• (with Francesca Uncini and M. Cecilia Verri) A Unified Approach to the Study of General and Palindromic Compositions, Vol 4
• (with Renzo Sprugnoli and M. Cecilia Verri) The Akiyama-Tanigawa Transformation, Vol 5(1)
• (with Graeme Kemkes and Bruce Richmond) Maximum Stirling Numbers of the Second Kind, Vol 8(1)

• (with Markus Kirschmer) On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves, Vol 13

• (with Paul Ottaway) Simplification of Partizan Games in Misère Play, Vol 7

• (with Hacène Belbachir) The (Exponential) Bipartitional Polynomials and Polynomial Sequences of Trinomial Type: Part I, Vol 11
• (with Hacène Belbachir) The (Exponential) Bipartitional Polynomials and Polynomial Sequences of Trinomial Type: Part II, Vol 11
• (with Mohammed Said Maamra) The (r₁,...,r_p)-Stirling Numbers of the Second Kind, Vol 12

• An Identity for Sums of Polylogarithm Functions, Vol 8(1)
• (with Luc Robinson and Sean Pegado) Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets, Vol 12
• (with Amanda Bower, Ron Evans, and Victor Luo) Coordinate Sum and Difference Sets of d-Dimensional Modular Hyperbolas, Vol 13

• (with Richard J. Nowakowski and Paul Ottaway) The Misère Monoid of One-Handed Alternating Games, Vol 12B

• (with Patrick Mitchell) Unavoidable Sets of a Certain Size in a Finite Set, Vol 5(2)
• Some Observations on Subset Sum Representations, Vol 6

• (with Douglas E. Iannucci) On Consecutive Integer Pairs with the Same Sum of Distinct Prime Divisors, Vol 5(1)

• (with Donald Mills) Unavoidable Sets of a Certain Size in a Finite Set, Vol 5(2)

• (with Gill Barequet, Ares Ribó, and Günter Rote) Counting Polyominoes on Twisted Cylinders, Vol 6

• (with H. Tajbakhsh) Lucas Numbers and Determinants, Vol 11

• (with Shalosh B. Ekhad) A WZ Proof of a "Curious" Identity, Vol 3

• (with Xinyu Sun) A Binary Tree Representation for the 2-Adic Valuation of a Sequence Arising From a Rational Integral, Vol 10
• (with T. Amdeberhan and D. Callan) Valuations and Combinatorics of Truncated Exponential Sums, Vol 13

• (with Andries E. Brouwer, Gabor Horvath, and Csaba Szabo) On Three-rowed Chomp, Vol 5(1)

• (with Yoomi Rho) Van der Waerden's Theorem on Homothetic Copies of {1,1+s, 1+s+t}, Vol 12

• (with Louis Helm, Payam Samidoost, and George Woltman) Resolution of the Mixed Sierpiński Problem, Vol 8(1)

• (with Gennady Bachman) On a Class of Ternary Inclusion-Exclusion Polynomials, Vol 11
• Artin's Primitive Root Conjecture -- A Survey --, Vol 12A

• (with Alex Iosevich and Jonathan Pakianathan) On Directions Determined by Subsets of Vector Spaces Over Finite Fields, Vol 11

• (with Lukas Spiegelhofer) A Reverse Order Property of Correlation Measures of the Sum-of-Digits Function, Vol 12

• (with Vladimir Shevelev) On a Sequence of Polynomials with Hypothetically Integer Coefficients, Vol 13

• (with Dawn Curtis, Taylor Hines, and Glenn Hurlbert) On Pebbling Graphs B y Their Blocks, Vol 9

• A Negative Answer to Two Questions about the Smallest Prime Numbers Having Given Digital Sums, Vol 5(1)

• Computation of q-Partial Fractions, Vol 7
• Combinatorics of Integer Partitions in Arithmetic Progression, Vol 10
• Euler-type Identities for Integer Compositions Via Zig-Zag Graphs, Vol 12

• (with Norma Zagaglia Salvi) Circular Binary Strings Without ZigZags, Vol 3
• Generalization of a Binomial Identity of Simons, Vol 5(1)
• Combinatorial Properties of the Antichains of a Garland, Vol 9

• A Note on Diophantine Fractals for α--Lüroth systems, Vol 11b

• The Size of the Largest Part of Random Plane Partitions of Large Integers, Vol 6

N

• (with Taizo Sadahiro) A β-Expansion Associated to Sturmian Sequences, Vol 12

• An Upper Bound for the Representative Number of Graphs with Fixed Order, Vol 3
• (with Jim Urick) Representations of Split Graphs, Their Complements, Stars, and Hypercubes, Vol 7

• Affine Invariants, Relatively Prime Sets, and a phi Function for Subsets of {1, 2, ..., n}, Vol 7
• Linear Quantum Addition Rules, Vol 7(2)
• (with Brooke Orosz) Asymptotic Estimates for Phi Functions for Subsets of {m+1,m+2,...,n}, Vol 7
• (with Blair D. Sullivan) Heights in Finite Projective Space, and a Problem on Directed Graphs, Vol 8(1)
• Tennenbaum at Penn and Rochester, Vol 8(2)
• Phase Transitions in Infinitely Generated Groups, and Related Problems in Additive Number Theory, Vol 11A
• (with iŽeljka Ljujić) On a Partition Problem of Canfield and Wilf, Vol 12A

• Universal Sets and the Vector Game, Vol 8(1)

• (with Veselin Jungić and Radoš Radoičić) Rainbow Ramsey Theory, Vol 5(2)
• (with O. Serra) Semigroups with the Erdős-Turán Property, Vol 7(2)

• (with Alda Carvalho, Carlos P. Santos, Cátia Lente Dias, Francisco Coelho, and Sandra Vinagre) A Recursive Process Related to a Partizan Vari ation of Wythoff, Vol 12

• (with William D. Banks and Ahmet M. Güloğlu) On the Congruence N ≡ A (mod ϕ(N)), Vol 8(1)

• Generalized Binomial Expansions and Bernoulli Polynomials, Vol 13

• On Two-point Configurations in a Random Set, Vol 9

• (with Florian Luca) φ(F_n)=F_m, Vol 9

• (with Geoffrey Caveney and Jonathan Sondow) Robin's Theorem, Primes, and a New Elementary Reformulation of the Riemann Hypothesis, Vol 11

• (with Shaun Sullivan) Counting Depth Zero Patterns in Ballot Paths, Vol 11
• Inverses of Motzkin and Schröder Paths, Vol 12

• An Upper Bound for Odd Perfect Numbers, Vol 3

• (with Benjamin Braun, Robert Davis, Jessica Doering, Ashley Harrison, and Clifford Taylor) Compositions Constrained by Graph Laplacian Minors, Vol 13

• (with D. G. Horrocks) Regularity in the G-Sequences of Octal Games with a Pass, Vol 3
• (with M. H. Albert) Nim Restrictions, Vol 4
• (with Michael H. Albert, J. P. Grossman, and David Wolfe) An Introduction to Clobber, Vol 5(2)
• (with Sarah K. McCurdy) Cutthroat, an All-Small Game on Graphs, Vol 5(2)
• (with Paul Ottaway) Vertex Deletion Games with Parity Rules, Vol 5(2)
• (with A. A. Siegel) Partizan Geography on K_n x K₂, Vol 7(2)
• (with Rebecca Milley and Paul Ottaway) The Misère Monoid of One-Handed Alternating Games, Vol 12B
• (with Neil A. McKay) Outcomes of Partizan Euclid, Vol 12B

• Pattern Occurrence in the Dyadic Expansion of Square Root of Two and an Analysis of Pseudorandom Number Generators, Vol 10

• (with A. Smati) Distribution Laws of Pairs of Divisors, Vol 13

O

• (with Eugen J. Ionascu) Cubes in {0,1,...,n}³, Vol 12A

• Fraenkel's Partition and Brown's Decomposition, Vol 3
• Gaps in the Spectrum of Nathanson Heights of Projective Points, Vol 7
• On Z.-W. Sun's Disjoint Congruence Classes Conjecture, Vol 7(2)
• Thick Subsets that Do Not Contain Arithmetic Progressions, Vol 13

• (with Ken Kamano and Shuji Yamamoto) Weighted Lonesum Matrices and Their Generating Function, Vol 13

• (with Jonathan Bayless and Dominic Klyve) New Bounds and Computations on Prime-Indexed Primes, Vol 13

• The Dying Rabbit Problem Revisited, Vol 9
• (with José María Grau) On k-Lehmer Numbers, Vol 12

• (with Vadim Ponomarenko) The Frobenius Number of Geometric Sequences, Vol 8(1)

• A Mock Theta Function for the Delta-Function, Volume 9 Supplement

• (with Melvyn B. Nathanson) Asymptotic Estimates for Phi Functions for Subsets of {m+1,m+2,...,n}, Vol7

• (with Jeremy Lovejoy) Quadratic Forms and Four Partition Functions Modulo 3, Vol 11

• (with Richard J. Nowakowski) Vertex Deletion Games with Parity Rules, Vol 5(2)
• (with G. A. Mesdal) Simplification of Partizan Games in Misère Play, Vol 7
• (with Rebecca Milley and Richard J. Nowakowski) The Misère Monoid of One-Handed Alternating Games, Vol 12B

• (with H. G. Grundman) On Bounds for Two Davenport-type Constants, Vol 13

• (with Florian Luca) The Diophantine Equation F_n^y + F_n+1^x = F_m^x, Vol 13

P

• Ramsey Type Results on the Solvability of Certain Equation in Z_m, Vol 13

• (with Jeff Amos, S. T. Chapman, and Natalie Hine) Sets of Lengths Do Not Characterize Numerical Monoids, Vol 7

• (with Alex Iosevich and Hannah Morgan) On Directions Determined by S ubsets of Vector Spaces Over Finite Fields, Vol 11

• A Remark on the Chebotarev Theorem About Roots of Unity, Vol 7

• (with David Garth and Ha Ta) Self Generating Sets and Numeration Systems, Volume 9 Supplement

• (with Ping Xu) Note on a Congruence Involving Products of Binomial Coefficients, Vol 7
• (with Song Guo and Zhi-Wei Sun) Mixed Sums of Squares and Triangular Numbers (II), Vol 7

• (with Amitabha Tripathi) On the Density of Integral Sets with Missing Differences, Volume 9 Supplement

• (with Helmut Prodinger) Kirkman's Hypothesis Revisited, Vol 1
• (with Helmut Prodinger) A Generating Functions Proof of a Curious Identity, Vol 2
• (with Helmut Prodinger) A Short Proof of a Series Evaluation in Terms of Harmonic Numbers, Vol 9

• (with Pete L. Clark, Jacob Hicks, and Katherine Thompson) GoNI: Primes Represented by Binary Quadratic Forms, Vol 13

• An Observation on the Extension of Abel's Lemma, Vol 10

• (with S. S. Kannan) Normality, Projective Normality and EGZ Theorem, Vol 11

• (with K. Johnson) Projective p-Orderings and Homogeneous Integer-Valued Polynomials, Vol 11

• (with Michael P. Knapp) On Weakly Complete Sequences Formed by the Greedy Algorithm, Vol 12

• (with Carsten Schneider) Truncating Binomial Series with Symbolic Summation, Vol 7

• (with Steven J. Miller and Luc Robinson) Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets, Vol 12

• (with Peter Baláži, Zuzana Masáková) Complete Characterization of Substitution Invariant Sturmian Sequences, Vol 5(1)
• (with Pierre Arnoux, Valérie Berthé, and Zuzana Masáková) Sturm Numbers and Substitution Invariance of 3iet Words, Vol 8(1)
• (with Peter Baláži, Zuzana Masáková) Characterization of Substitution Invariant Words Coding Exchange of Three Intervals, Vol 8(1)
• (with Karel Klouda) Factor Complexity of Infinite Words Associated With Non-Simple Parry Numbers, Vol 9
• (with L'ubomira Balková and Karel Klouda) Critical Exponent of Infinite Words Coding Beta-Integers Associated with Non-Simple Parry Numbers, Vol 11B

• (with Weidong Gao) On the Number of Zero-Sum Subsequences of Restricted Size, Vol 9

• (with Neil Calkin, Nate Drake, Kevin James, Shirley Law, Philip Lee, and Jeanne Radder) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)

• (with Carla D. Savage) Lecture Hall Partitions and the Wreath Products C_k ≀ S_n, Vol 12B

• (with Sergey Kitaev and Tyrrell B. McAllister ) Enumerating Segmented Patterns in Compositions and Encoding by Restricted Permut ations, Vol 6

• (with Guy Barat and Christiane Frougny) A Note on Linear Recurrent Mahler Numbers, Vol 5(3)
• On the Boundary of the Set of the Closure of Contractive Polynomials, Vol 9

• On the Distribution of Distances between the Points of Affine Curves over Finite Fields, Vol 5(1)

• (with Andrej Dujella) Square Roots with Many Good Approximants, Vol 5(3)

• (with G. Grekos, L. Haddad, and C. Helou) Supremum of Representation Functions, Vol 11

• Breaking Symmetry on Complete Bipartite Graphs of Odd Size, Vol 3
• (with Tomasz Schoen) Integer Sets Having the Maximum Number of Distinct Differences, Vol 7

• (with Josef Dick) The Figure of Merit of 2-dimensional Rank 2 Lattice Rules, Vol 5(3)

• (with Todd Cochrane) Sum-product Estimates Applied to Waring's Problem Mod p, Vol 8(1)

• An Inverse of the Faà di Bruno Formula, Vol 7

• (with Laurent Habsieger) Ensembles B2[2]: L'Etau se Resserre, Vol 2

• Taming the Wild in Impartial Combinatorial Games, Vol 5(1)

• (with Patrick Solé) The Robin Inequality for 7-Free Integers, Vol 11

• (with Artūras Dubickas) Periodicity of Some Recurrence Sequences Modulo m, Vol 8(1)

• (with András Csernenszky and Ryan R. Martin) On the Complexity of Chooser-Picker Positional Games, Vol 11

• Boole's Formula as a Consequence of Lagrange's Interpolating Polynomial Theorem, Vol 8(1)

• A Short Proof of a Result of Gica and Luca, Vol 13

• Values of the Euler and Carmichael Functions Which Are Sums of Three Squares, Vol 11
• Perfect Numbers With Identical Digits, Vol 11A
• (with Carl Pomerance) Prime-Perfect Numbers, Vol 12A

• Dynamical Zeta Functions, Vol 11b
• Rates of Convergence for Linear Actions of Cocompact Lattices on the Complex Plane, Vol 11B

• (with E. Rodney Canfield) On the Problem of Uniqueness for the Maximum Stirling Number(s) of the Second Kind, Vol 2
• (with E. Rodney Canfield) Corrigendum to Article A1, Volume 2 (2002) (On the Problem of Uniqueness for the Maximum Stirling Number(s) of the Second Kind), Vol 5(1)
• (with Florian Luca) Irreducible Radical Extensions and Euler-function Chains, Vol 7(2)
• (with Florian Luca) On the Range of the Iterated Euler Function, Volume 9 Supplement
• (with Igor E. Shparlinski) On Pseudosquares and Pseudopowers, Volume 9 Supplement
• Remarks on the Pólya-Vinogradov Inequality, Vol 11A
• (with Paul Pollack) Prime-Perfect Numbers, Vol 12A
• (with Pär Kurlberg and Jeffrey C. Lagarias) On Sets of Integers Which Are Both Sum-Free and Product-Free, Vol 12B

• (with Chun Yin Hui) Diophantine Equations of Matching Games I, Vol 11

• Minimal Zero Sequences of Finite Cyclic Groups, Vol 4
• (with Darren C. Ong) The Frobenius Number of Geometric Sequences, Vol 8(1)

• (with Jean-Marc Deshouillers) Large Zero-Free Subsets of Z/pZ, Vol 11A

• (with Ian Anderson) Obtaining All or Half of U_n as ⟨ x ⟩ x ⟨ x+1 ⟩, Vol 12

• (with Reza Akhtar and Anthony B. Evans) Representation Numbers of Stars, Vol 10

• On Binary Representations of Integers with Digits -1, 0, 1, Vol 0
• (with Alois Panholzer) Kirkman's Hypothesis Revisited, Vol 1
• (with Alois Panholzer) A Generating Functions Proof of a Curious Identity, Vol 2
• Two q-identities from the Theory of Fountains and Histograms Proved with a Tri-Diagonal Determinant, Vol 5(1)
• (with Peter J. Grabner and Clemens Heuberger) Counting Optimal Joint Digit Expansions, Vol 5(3)
• Human Proofs of Identities by Osburn and Schneider, Vol 8(1)
• (with Markus Kuba and and Carsten Schneider) Generalized Reciprocity Laws for Sums of Harmonic Numbers, Vol 8(1)
• (with Alois Panholzer) A Short Proof of a Series Evaluation in Terms of Harmonic Numbers, Vol 9
• (with Markus Kuba) A Note on Stirling Series, Vol 10
• The Intrinsic Periodic Behaviour of Sequences Related to a Rational Integral, Vol 11

• Partitions Which are p- and q-Core, Vol 1

• Enumeration Schemes for Words Avoiding Patterns With Repeated Letters, Vol 8(1)

• (with R. W. R. Darling) Maximum GCD Among Pairs of Random Integers, Vol 11

Q

• (with H. W. Gould) Floor and Roof Function Analogs of the Bell Numbers, Vol 7
• (with H. W. Gould) Bell Numbers and Variant Sequences Derived from a General Functional Differential Equation, Vol 9
• (with Harris Kwong) A Combinatorial Interpretation of the Catalan and Bell Number Difference Tables, Vol 13

R

• (with Neil Calkin, Nate Drake, Kevin James, Shirley Law, Philip Lee, and David Penniston) Divisibility Properties of the 5-regular and 13-regular Partition Functions, Vol 8(1)

• (with Veselin Jungić) Rainbow 3-term Arithmetic Progressions, Vol 3
• (with Jacob Fox) On the Degree of Regularity of Generalized van der Waerden Triples, Vol 5(1)
• (with Veselin Jungić and Jaroslav Nesetril) Rainbow Ramsey Theory, Vol 5(2)
• (with Jacob Fox and Veselin Jungić) Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples, Vol 7(2)

• A Note on the Minimal Number of Representations in A+A, Vol 12

• K-Fixed-Points-Permutations, Vol 7

• (with Shaun Cooper, Sanoli Gun, and Michael Hirschhorn) Relations Among Fourier Coefficients of Certain Eta Products, Vol 5(1)

• Maximal Continuants and Periodicity, Vol 6

• (with J.M. Marín and M.P. Revuelta) On the Frobenius Number of Fibonacci Numerical Semigroups, Vol 7

• (with Émilie Charlier, Michel Rigo, and Laurent Waxweiler) The Minimal Automaton Recognizing mN in a Linear Numeration System, Vol 11b

• (with Jean-Pierre Flori) On the Number of Carries Occurring in an Addition Mod 2^k-1, Vol 12

• (with Sukumar Das Adhikari) Davenport Constant with Weights and Some Related Questions, Vol 6

• A Proof of Catalan's Convolution Formula, Vol 12

• (with Blair K. Spearman and Qiduan Yang) On Congruent Numbers With Three Prime Factors, Vol 11

• (with Peter F. Blanchard and Frank Harary) Partitions into Sum-free Sets, Vol 6

• (with Arthur Holshouser and James Rudzinski) Pilesize Dynamic One-pile Nim and Beatty's Theorem, Vol 4

• (with Sergey Kitaev) Place-Difference-Value Patterns: A Generalization of Generalized Permutation and Word Patterns, Vol 10

• Christoffel Words and Markoff Triples, Vol 9

• (with J.M. Marín and J.L. Ramírex Alfonsín) On the Frobenius Number of Fibonacci Numerical Semigroups, Vol 7
• (with S. Eliahou and J.M. Marín) Zero-sum Balanced Binary Sequences, Vol 7(2)

• (with Byeong Moon) Van der Waerden's Theorem on Homothetic Copies of {1,1+s, 1+s+t}, Vol 12

• (with Morgan V. Brown, Neil J. Calkin, Kevin James, Adam J. King, and Shannon Lockard) Trivial Selmer Groups and Even Partitions of a Graph, Vol 6

• Explicit Solutions of Certain Systems of Pell Equations, Vol 12A

• (with Gill Barequet, Micha Moffie, and Günter Rote) Counting Polyominoes on Twisted Cylinders, Vol 6

• Primitive Prime Divisors in Polynomial Arithmetic Dynamics, Vol 7

• Generalized Cauchy Determinants, Vol 8(1)

• (with Graeme Kemkes and Donatella Merlini) Maximum Stirling Numbers of the Second Kind, Vol 8(1)

• (with Julien Leroy) A Combinatorial Proof of S-adicity for Sequences with Linear Complexity, Vol 13

• (with Émilie Charlier and Wolfgang Steiner) Abstract Numeration Systems on Bounded Languages and Multiplication by a Constant, Vol 8(1)
• (with Émilie Charlier, Narad Rampersad, and Laurent Waxweiler) The Minimal Automaton Recognizing mN in a Linear Numeration System, Vol 11b

• (with Luca Ferrari) Enumeration of Generalized Hook Partitions, Vol 5(1)

• On Partitions and Cyclotomic Polynomials, Vol 0

• (with Clay Culver and Bruce Landman) Some New Exact van der Waerden Numbers, Vol 5(2)
• (with Tim LeSaulnier) On Monochromatic Ascending Waves, Vol 7(2)
• (with Yu-Hin Au and Jeffrey Shallit) Van der Waerden's Theorem and Avoidability in Words, Vol 11

• (with Ben Small) On Newman's Conjecture and Prime Trees, Vol 9

• Sturmian Expansions and Entropy, Vol 11b

• (with Steven J. Miller and Sean Pegado) Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets, Vol 12

• (with Gretchen L. Matthews) A Variant of the Frobenius Problem and Generalized Suzuki Semigroups, Vol7(2)

• (with Michael D.Hirschhorn and James A. Sellers) Infinite Families of Divisibility Properties Modulo 4 For Non-Squashing Partitions Into Distinct Parts, Vol 9

• (with R. Tijdeman) The Tribonacci Substitution, Vol 5(3)

• (with Gill Barequet, Micha Moffie, and Ares Ribó) Counting Polyominoes on Twisted Cylinders, Vol 6

• (with Ae Ja Yee) The Finite Heine Transformation and Conjugate Durfee Squares, Vol 9

• Non-Regularity of ⌊ α + log_k n ⌋, Vol 10

• The Distribution of Solutions to xy = N (MOD a) with an Application to Factoring Integers, Vol 13

• (with A. Iosevich) Powder Diffraction from a Combinatorial and Analytic Viewpoint, Vol 8(2)

• (with Arthur Holshouser and Harold Reiter) Pilesize Dynamic One-pile Nim and Beatty's Theorem, Vol 4

• (with Bela Bajnok) The Independence Number of a Subset of an Abelian Group, Vol 3
• (with Ernie Croot and Tomasz Schoen) Arithmetic Progressions in Sparse Sumsets, Vol 7(2)

• (with Mathieu Dutour and Robert Erdahl) Perfect Delaunay Polytopes in Low Dimensions, Vol 7

S

• (with Daniel Schaal and Jacent Tokaz) Disjunctive Rado Numbers for x₁ + x₂ + c = x₃, Vol 7

• (with Shunji Ito) Beta-Expansions With Negative Bases, Vol 9
• (with Fumihiko Nakano) A β-Expansion Associated to Sturmian Sequences, Vol 12

• (with Carla D. Savage) Combinatorial Interpretations of Binomial Coefficient Analogues Related to Lucas Sequences, Vol 10

• (with Hayri Ardal, Tom Brown, and Veselin Jungić) On Abelian and Additive Complexity in Infinite Words, Vol 12

• (with Emanuele Munarini) Circular Binary Strings Without ZigZags, Vol 3

• (with Louis Helm, Phil Moore, and George Woltman) Resolution of the Mixed Sierpiński Problem, Vol 8(1)

• (with T. Sander) On the Kernel of the Coprime Graph of Integers, Vol 9

• (with J.W. Sander) On the Kernel of the Coprime Graph of Integers, Vol 9

• Partitions of Natural Numbers and Their Representative Functions, Vol 4
• Random B_h Sets and Additive Bases in Z_n, Vol 7

• (with László Tóth) Extremal Orders of Compositions of Certain Arithmetical Functions, Vol 8(1)

• (with Pantelimon Stănică, Sourav Sen Gupta, Subhamoy Maitra, and Nirupam Kar) Counting Heron triangles with Constraints, Vol 13

• On Products and Shifted Products of Residues Modulo p, Vol 8(2)
• (with Vsevolod F. Lev) An Erdős-Fuchs Type Theorem for Finite Groups, Vol 11A

• (with Nayandeep Deka Baruah) The Number of Representations of a Number as Sums of Various Polygonal Numbers, Vol 12

• (with Paul Yiu and Shanzhen Gao) Heron Sequences and Their Modifications, Volume 9 Supplement

• On a Relation Between the Riemann Zeta Function and the Stirling Numbers, Vol 8(1)

• (with Sylvie Corteel) Plane Partition Diamonds and Generalizations, Vol 3
• (with Sylvie Corteel and Herbert S. Wilf) A Note on Partitions and Compositions Defined by Inequalities, Vol 5(1)
• (with Sylvie Corteel and Sunyoung Lee) Five Guidelines for Partition Analysis with Applications to Lecture Hall-type Theorems, Vol 7(2)
• (with Nicholas A. Loehr) Generalizing the Combinatorics of Binomial Coefficients Via l-Nomials, Vol 10
• (with Bruce E. Sagan) Combinatorial Interpretations of Binomial Coefficient Analogues Related to Lucas Sequences, Vol 10
• (with Thomas W. Pensyl) Lecture Hall Partitions and the Wreath Products C_k ≀ S_n, Vol 12B

• (with Fang Chen) Minimal Zero-sum Sequences of Maximum Length in the Group C₃ ⊕ C_3k, Vol 7
• (with Fang Chen) Long Minimal Zero-Sum Sequences in the Group C₂⊕ C_2k, Vol 12

• (with Dusty Sabo and Jacent Tokaz) Disjunctive Rado Numbers for x₁ + x₂ + c = x₃, Vol 7
• (with Hunter Snevily) A Multiplicity Problem Related to Schur Numbers, Vol 8(1)

• (with Immanuel Halupczo) Achieving Snaky, Vol 7
• (with Gautami Bhowmik and Immanuel Halupczok) Inductive Methods and Zero-sum Free Sequences, Vol 9
• Completely Multiplicative Automatic Functions, Vol 11

• (with Jeffery James) Some Observations and Solutions to Short and Long Glo bal Nim, Vol 8(1)
• (with Mark Goadrich) Analyzing Two-Color Babylon, Vol 11

• On Zero-Sum Subsequences in Finite Abelian Groups, Vol 1
• (with W. D. Gao, Q. H. Hou, and R. Thangadurai) On Short Zero-Sum Subsequences II, Vol 7

• (with Jurgen Bierbrauer) An Asymptotic Gilber-Varshamov Bound for (t,m,s)-nets, Vol 5(3)

• (with Peter Paule) Truncating Binomial Series with Symbolic Summation, Vol 7
• (with Markus Kuba and Helmut Prodinger) Generalized Reciprocity Laws for Sums of Harmonic Numbers, Vol 8(1)

• (with John M. Freeman and Wandi Wei) On the Tennis Ball Problem, Vol 11

• Multiple Set Addition in Zp, Vol 3
• (with Oleg Pikhurko) Integer Sets Having the Maximum Number of Distinct Differences, Vol 7
• (with Ernie Croot and Imre Ruzsa) Arithmetic Progressions in Sparse Sumsets, Vol 7(2)

• The Fourier Transform of Functions of the Greatest Common Divisor, Vol 8(1)

• Periodic Multiplicative Algorithms of Selmer Type, Vol 5(1)
• Volume as a Measure of Approximation for the Jacobi-Perron Algorithm, Vol 10
• Variations of the Poincaré Map, Vol 11
• Schweiger, Fritz
• Brun Meets Selmer, Vol 13

• Left Weighted Catalan Extension, Vol 10

• (with Sami Assaf, Li-Chung Chen, Tegan Cheslack-Postava, Benjamin Cooper, Alexander Diesl, Thomas Garrity, and Mathew Lepinski) A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, Vol 5(1)

• (with Sergey Kitaev and Toufik Mansour) Counting Ordered Patterns in Words Generated by Morphisms, Vol 8(1)

• (with Aaron Meyerowitz) The 392 Problem, Vol 12A

• Extending a Recent Result of Santos on Partitions into Odd Parts, Vol 3
• (with Kevin M. Courtright) Arithmetic Properties for Hyper m-ary Partition Functions, Vol 4
• Corrigendum to Article A4, Volume 3(2003) (Extending A Recent Result of Santos on Partitions into Odd Parts), Vol 4
• (with Michael D. Hirschhorn) An Infinite Family of Overpartition Congruences Modulo 12, Vol 5(1)
• Observations on the Parity of the Total Numbers of Parts in Odd-part Partitions, Vol 7
• (with Brian Hopkins) Exact Enumeration of Garden of Eden Partitions, Vol 7(2)
• (with Derrick M. Keister and Robert G. Vary) Some Arithmetic Properties of Overpartition k-Tuples, Vol 9
• (with Michael D. Hirschhorn and Øystein J. Rødseth) Infinite Families of Divis ibility Properties Modulo 4 For Non-Squashing Partitions Into Distinct Parts, Vol 9
• (with Shishuo Fu) Enumeration of the Degree Sequences of Line--Hamiltonian Multigraphs, Vol 12

• (with Pantelimon Stănică, Santanu Sarkar, Subhamoy Maitra, and Nirupam Kar) Counting Heron triangles with Constraints, Vol 13

• A Note on the Multiplicative Structure of an Additively Shifted Product Set AA+1, Vol 13

• (with Gilles Zemor) On a Generalization of a Theorem by Vosper, Vol 0
• (with J. Nešetřil) Semigroups with the Erdős-Turán Property, Vol 7(2)

• Distance in the Affince Buildings of SL_n and Sp_n, Vol 8(1)

• (with Qing-Hu Hou and Toufik Mansour) Partial Transposes of Permutation Matrices, Vol 8(1)

• (with James Stankewicz) Unbounded Discrepancy in Frobenius Numbers, Vol 11
• (with Yu-Hin Au and Aaron Robertson) Van der Waerden's Theorem and Avoidability in Words, Vol 11

• Generalized Levinson-Durbin Sequences and Binomial Coefficients, Vol 9

• (with Manu Sridharan) New Temperatures in Domineering, Vol 5(1)

• (with S. David Shapiro) Iterated Exponents in Number Theory, Vol 7

• (with Daniel B. Shapiro) Iterated Exponents in Number Theory, Vol 7

• Bijective Proofs of Vajda's Ninetieth Fibonacci Number Identity and Related Identities, Vol 12

• On Relatively Prime Sets Counting Functions, Vol 10

• (with William D. Banks) Integers with a Large Smooth Divisor, Vol 7
• (with Carl Pomerance) On Pseudosquares and Pseudopowers, Volume 9 Supplement
• (with Kevin A. Broughan and Florian Luca) Some Divisibility Properties of Binomial Coefficients and the Converse of Wolstenholme's Theorem, Vol 10
• (with Antal Balog and Kevin A. Broughan) Sum-Products Estimates with Several Sets and Applications, Vol 12

• Parity Theorems for Statistics on Permutations and Catalan Words, Vol 5(1)
• Combinatorial Proof of Some Moriarty-Type Binomial Coefficient Identities, Vol 6
• Combinatorial Proofs of Some Simon-Type Binomial Coefficient Identities, Vol 7
• (with Arthur T. Benjamin) Recounting Determinants for a Class of Hessenberg Matrices, Vol 7
• Tiling Proofs of Some Fibonacci-Lucas Relations, Vol 8(1)
• Tiling Proofs of Some Formulas for the Pell Numbers of Odd Index, Vol 9
• Recounting the Number of Rises, Levels, and Descents in Finite Set Partitions, Vol 10
• (with Alex Eustis) Combinatorial Proofs of Some Identities for the Fibonacci and Lucas Numbers, Vol 11
• (with Toufik Mansour) A Recurrence Related to the Bell Numbers, Vol 11
• (with Toufik Mansour) Avoiding Type (1,2) or (2,1) Patterns in a Partition of a Set, Vol 12
• Convolution Identities for Stirling Numbers of the First Kind Via Involution, Vol 12

• The Game of Take Turn, Vol 7(2)

• (with Sarmad Abbasi) Some Hardness Results for Question/Answer Games, Vol 7

• (with Doowon Koh) Additive Energy and the Falconer Distance Problem in Finite Fields, Vol 13

• (with Simon Litsyn) On Factorization of Integers with Restrictions on the Exponents, Vol 7
• The Number of Permutations with Prescribed Up-Down Structure as a Function of Two Variables, Vol 12
• (with Peter J. C. Moses) On a Sequence of Polynomials with Hypothetically Integer Coefficients, Vol 13

• Theory and Practice of Sylver Coinage, Vol 2

• Snaky is a 41-dimensional Winner, Vol 4
• Proof Trees for Weak Achievement Games, Vol 8(1)
• (with Ian Douglas) Edge Animal Weak (1,2)-Achievement Games, Vol 12

• (with Valérie Berthé) Tilings Associated with Beta-numeration and Substitutions, Vol 5(3)
• (with R. J. Nowakowski) Partizan Geography on K_n x K₂, Vol 7(2)

• (with James McGaughlin) Combinatorics of Ramanujan-Slater Type Identities, Volume 9 Supplement

• (with Carlos Pereira dos Santos) Konane has Infinite Nim-dimension, Vol 8(1)

• (with Scott Jenkins) Composite Covering Systems of Minimum Cardinality, Vol 3
• Disjoint Beatty Sequences, Vol 4

• New Sequences That Converge to a Generalization of Euler's Constant, Vol 11

• More Kolakoski Sequences, Vol 11b

• Symmetries in k-Bonacci Adic Systems, Vol 11b
• Pisot Numbers and Chromatic Zeros, Vol 13

• On Vanishing Sums of Distinct Roots of Unity, Vol 10

• (with Karl Dilcher) The Cube of the Fermat Quotient, Vol 6

• Q-Binomials and the Greatest Common Divisor, Vol 8(1)

• (with Jorn Steuding) Simpson's Paradox in the Farey Sequence, Vol 6

• (with Roman Wituła) Conjugate Sequences in a Fibonacci-Lucas Sense and Some Identities for Sums of Powers of Their Elements, Vol 7

• (with Leanne Robertson) On Newman's Conjecture and Prime Trees, Vol 9

• (with S. Nyandwi) Distribution Laws of Pairs of Divisors, Vol 13

• (with Pantelimon Stănică) Comply/Constrain Games or Games with a Muller Twist, Vol 2

• (with Scott T. Chapman) A Characterization of Minimal Zero-Sequences of Index One in Finite Cyclic Groups, Vol 5(1)

• (with Kálmán Győry) The Divisibility of aⁿ-bⁿ by Powers of n, Vol 10

• (with Daniel Schaal) A Multiplicity Problem Related to Schur Numbers, Vol 8(1)
• (with Tanbir Ahmed, Michael G. Eldredge, and Jonathan J. Marler) Strict Schur Numbers, Vol 13

• Reciprocal Power Sums, Vol 12

• Some Properties of the Euler Quotient Matrix, Vol 6

• (with Michel Planat) The Robin Inequality for 7-Free Integers, Vol 11

• (with Geoffrey Caveney and Jean-Louis Nicolas) Robin's Theorem, Primes, and a New Elementary Reformulation of the Riemann Hypothesis, Vol 11
• (with Kieren MacMillan) Reducing the Erdős-Moser Equation 1ⁿ + 2ⁿ + ... + kⁿ = (k+1)ⁿ Modulo k and k², Vol 11

• (with Graeme L. Cohen) On Odd Perfect Numbers and Even 3-Perfect Numbers, Vol 12A

• (with Lindsey Reinholz and Qiduan Yang) On Congruent Numbers With Three Prime Factors, Vol 11

• (with Norbert Hungerbuhler) A Generalization of the Smarandache Function to Several Variables, Vol 6

• (with Florin P. Boca and Byron Heersink) Gap Distribution of Farey Fractions Under Some Divisibility Constraints, Vol 13

• (with Johannes F. Morgenbesser) A Reverse Order Property of Correlation Measures of the Sum-of-Digits Function, Vol 12

• (with Natalio H. Guersenzvaig) Counting Functions and Finite Differences, Vol 7
• Cycles in War, Vol 10

• (with Donatella Merlini) A Riordan Array Proof of a Curious Identity, Vol 5(1)
• (with Donatella Merlini and M. Cecilia Verri) The Akiyama-Tanigawa Transformation, Vol 5(1)
• Sums of Reciprocals of the Central Binomial Coefficients, Vol 6

• (with Ajeet Shankar) New Temperatures in Domineering, Vol 5(1)

• (with Richard M. Low) King and Rook Vs. King on a Quarter-Infinite Board, Vol 6

• On the Structure of Sets with Small Doubling Property on the Plane (II), Vol 8(2)

• A Modular Identity for the Ramanuajan Identity Modulo 35, Vol 2

• (with Furman Smith) Comply/Constrain Games or Games with a Muller Twist, Vol 2
• Cholesky Factorizations of Matrices Associated with r-order Recurrent Sequences, Vol 5(2)
• Graph Eigenvalues and Walsh Spectrum of Boolean Functions, Vol 7(2)
• (with Thomas W. Cusick and Yuan Li) On a Combinatorial Conjecture, Vol 11
• Stănică, Pantelimon
• (with Santanu Sarkar, Sourav Sen Gupta, Subhamoy Maitra, and Nirupam Kar) Counting Heron triangles with Constraints, Vol 13

• (with Jeffrey Shallit) Unbounded Discrepancy in Frobenius Numbers, Vol 11

• (with Dennis Eichhorn, Mizan R. Khan, and Christian L. Yankov Sums and Differences of the Coordinates of Points on Modular Hyperbolas, Volume 9 Supplement

• (with Carsten Elsner) On the Value Distribution of Error Sums for Approximati ons With Rational Numbers, Vol 12

• (with Don Coppersmith) On the Entry Sum of Cyclotomic Arrays, Vol 6

• Parry Extensions of Polynomial Sequences, Vol 2
• (with Emilie Charlier and Michel Rigo) Abstract Numeration Systems on Bounded Languages and Multiplication by a Constant, Vol 8(1)

• (with Rasa Slezeviciene-Steuding) Simpson's Paradox in the Farey Sequence, Vol 6

• The Sequential Join of Combinatorial Games, Vol 7
• Pirates and Treasure, Vol 13

• (with John B. Friedlander and Florian Luca) On the Irrationality of a Divisor Function Series, Vol 7

• (with Josefina López) The 3x+1 Conjugacy Map Over a Sturmian Word, Vol 9
• (with Josefina López) The 2-Adic, Binary and Decimal Periods of 1/3^k Approach Full Complexity for Increasing k, Vol 12

• On a Multi-parameter Family of Newman Phenomenon Triples, Vol 5(3)

• (with Kimberly Hopkins) Lower Bounds for the Principal Genus of Definite Binary Quadratic Forms, Vol 10

• (with David Borwein, Jonathan M. Borwein, and James Wan) Log-Sine Evaluations of Mahler Measures, II, Vol 12A

• (with Vladimír Baláž and Pierre Liardet) Distribution Functions of the Sequence φ(M)/M, M ∈ (K,K+N] As K, N Go to Infinity, Vol 10

• (with Neil Hindman and Amir Maleki) Linear Equations in the Stone-Cech Compactification of N, Vol 0
• (with Timothy J. Carlson and Neil Hindman) Ramsey Theoretic Consequences of Some New Results About Algebra in the Stone-Cech Compactification, Vol 5(2)

• (with Hillevi Gavel) Nim with a Modular Muller Twist, Vol 4

• Winning Paths in N-by-Infinity Hex, Vol 7

• (with David Einstein, Daniel Lichtblau, and Stan Wagon) Frobenius Numbers by Lattice Point Enumeration, Vol 7

• (with Melvyn B. Nathanson) Heights in Finite Projective Space, and a Problem on Directed Graphs, Vol 8(1)

• (with Heinrich Niederhausen) Counting Depth Zero Patterns in Ballot Paths, Vol 11

• Improvements on Chomp, Vol 2
• (with Victor H. Moll) A Binary Tree Representation for the 2-Adic Valuation of a Sequence Arising From a Rational Integral, Vol 10

• A Curious Identity Involving Binomial Coefficients, Vol 2
• On Covering Numbers, Vol 7(2)
• (with Song Guo and Zhi-Wei Sun) Mixed Sums of Squares and Triangular Numbers (II), Vol 7

• (with E. T. Baskoro and H. J. Broersma) The Ramsey Numbers of Large Cycles versus Small Wheels, Vol 4

• A Finite Ring Polynomial, Vol 4
• (with J. McLaughlin) Powers of a Matrix and Combinatorial Identities, Vol 5(1)
• (with Ankit Gupta) Decimal Expansion of 1/p and Subgroup Sums, Vol 5(1)
• (with J. McLaughlin) Some Observations on Khovanskii's Matrix Methods for Extracting Roots of Polynomials, Vol 7

• (with Oleg Lazarev) A Combinatorial Proof of a Recursive Formula for Multipartitions, Vol 11

• (with Andries E. Brouwer, Gabor Horvath, and Ildiko Molnar-Saska) On Three-rowed Chomp, Vol 5(1)

• Some Fourth Degree Diophantine Equations in Gaussian Integers, Vol 4
• Factorizations and Paige's Theorem on Complete Maps, Vol 6
• (with Keresztély Corrádi) Factorization Results with Combinatorial Proofs, Vol 9

• (with Florian Luca) Lucas Diophantine Triples, Vol 9

T

• (with David Garth and Joseph Palmer) Self Generating Sets and Numeration Systems, Volume 9 Supplement

• (with Takao Komatsu and Florian Luca) On the Multiplicative Order of F_n+1/F_n Modulo F_m, Vol 12B

• (with Arseniy Akopyan) On the Number of Points in a Lattice Polytope, Vol 11

• (with A. R. Moghaddamfar) Lucas Numbers and Determinants, Vol 11

• (with Emrah Kiliç) Binomial Sums for the General Second Order Linear Recurrence, Vol 10

• (with Hsuan-Chu Li and Young-Ming Chen) Determinants of Fibonacci -Hessenberg Matrices Using LU Factorizations, Vol 9

• (with Min Tang) Note on a Result of Haddad and Helou, Vol 10

• (with Taiyu Li) On a Theorem of Prachar Involving Prime Powers, Vol 11
• (with Wen Yu) A Note on Partitions of Natural Numbers and Their Representation Functions, Vol 12

• (with Chi-Wu Tang) Note on a Result of Haddad and Helou, Vol 10
• (with Zhao-Jun Li) A Remark on a Paper of Luca and Walsh, Vol 11

• (with Shu-Juan Duan and Dan Liu) A Planar Integral Self-Affine Tile with Cantor Set Intersections With Its Neighbors, Vol 9

• A Study of Eulerian Numbers for Permutations in the Alternating Group, Vol 6

• (with Aviezri Fraenkel) A Class of Wythoff-Like Games, Vol 12B

• The Dinner Table Problem: The Rectangular Case, Vol 6
• Supercongruences for a Truncated Hypergeometric Series, Vol 12

• (with Robert Davis, Jessica Doering, Ashley Harrison, and Jenna Noll) Compositions Constrained by Graph Laplacian Minors, Vol 13

• Combinatorial Interpretations of Convolutions of the Catalan Numbers, Vol 11

• (with Florian Luca) Aliquot Cycles of Repdigits, Vol 11

• Non-canonical Extensions of Erdos-Ginzburg-Ziv Theorem, Vol 2
• (with W. D. Gao, Q. H. Hou, and W. A. Schmid) On Short Zero-Sum Subsequences II, Vol 7

• (with Pete L. Clark, Jacob Hicks, and Nathan Walters) GoNII: Universal Quaternary Quadratic Forms, Vol 12
• (with Pete L. Clark, Jacob Hicks, and Hans Parshall) GoNI: Primes Represented by Binary Quadratic Forms, Vol 13

• (with Mark Budden, Nicole Calkins, William Nathan Hack, and Joshua Lambert) Enumeration of Triangles in Quartic Residue Graphs, Vol 11

• Heights of Divisors of xⁿ-1, Vol 11A

• Maier Matrices Beyond Z, Volume 9 Supplement
• Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems, Vol 12B

• (with S. W. Rosema) The Tribonacci Substitution, Vol 5(3)
• (with Luca Q. Zamboni) Characterizations of Words With Many Periods, Vol 9

• (with Jiagui Luo and Pingzhi Yuan) On Some Equations Related to Ma's Conjecture, Vol 11
• (with Kevin A. Broughan, Marcos J. González, Ryan H. Lewis, Florian Luca, and V. Janitzio Mejía Huguet) There Are No Multiply-Perfect Fibonacci Numbers, Vol11A

• (with Dusty Sabo and Daniel Schaal) Disjunctive Rado Numbers for x₁ + x₂ + c = x₃, Vol 7

• (with Tamas Lengyel) A Congruential Identity and the 2-adic Order of Lacunary Sums of Binomial Coefficients, Vol 4

• (with József Sándor) Extremal Orders of Compositions of Certain Arithmetical Functions, Vol 8(1)
• On the Number of Certain Relatively Prime Subsets of {1, 2, ..., n}, Vol 10
• Some Remarks on a Paper of V. A. Liskovets, Vol 11

• (with D. G. Horrocks) Subtraction with a Muller Twist, Vol 8(1)

• (with Anant Godbole, Chang Mou Lim, and Vince Lyzinski) Sharp Threshold Asymptotics for the Emergence of Additive Bases, Vol 13

• (with Sharon E. Behum) On a Problem of Ore, Vol 7(2)

• On a Variation of the Coin Exchange Problem for Arithmetic Progressions, Vol 3
• On a Linear Diophantine Problem of Frobenius, Vol 6
• On the Frobenius Problem for Geometric Sequences, Vol 8(1)
• (with Ram Krishna Pandey) On the Density of Integral Sets with Missing Differences, Volume 9 Supplement
• On the Frobenius Problem for {a^k, a^k+1, a^k+a, ..., a^k+a^k-1}, Vol 10

• Generalized Nonaveraging Integer Sequences, Vol 11

U

• (with Donatella Merlini and M. Cecilia Verri) A Unified Approach to the Study of General and Palindromic Compositions, Vol 4

• (with Darren A. Narayan) Representations of Split Graphs, Their Complements, Stars, and Hypercubes, Vol 7

• (with Sukumar Das Adhikari and Chantal David) Generalizations of Some Zero-sum Theorems, Vol 8(1)

• Mean-Value Theorems for Multiplicative Arithmetic Functions of Several Variables, Vol 12

V

• On the Fourier Transform of the Greatest Common Divisor, Vol 13

• On Multiplicative Functions with Bounded Partial Sums, Vol 12

• (with Derrick M. Keister and James A. Sellers) Some Arithmetic Properties of Overpartition k-Tuples, Vol 9

• Explicit Formulas for Bernoulli and Euler Numbers, Vol 8(1)

• Symmetric Subsets of Lattice Paths, Vol 0

• Beta-Conjugates of Real Algebraic Numbers as Puiseux Expansions, Vol 11b

• (with Francesca Uncini and Donatella Merlini) A Unified Approach to the Study of General and Palindromic Compositions, Vol 4
• (with Donatella Merlini and Renzo Sprugnoli) The Akiyama-Tanigawa Transformation, Vol 5(1)

• On the Largest k-primitive Subset of [1,n], Vol 6
• On a Variant of Van Der Waerden's Theorem, Vol 10

• An Explicit Evaluation of the Gosper Sum, Vol 10

• (with Alda Carvalho, Carlos P. Santos, Cátia Lente Dias, Francisco Coelho, and João Pedro Neto) A Recursive Process Related to a Partizan Vari ation of Wythoff, Vol 12

• On Some Problems of Gyarmati and Sárközy, Vol 12

• On the Order of Points on Curves Over Finite Fields, Vol 7

• (with Felix Breuer) Staircases in Z², Vol 10

• High Order Complementary Bases of Primes, Vol 2

W

• Character Sums and Ramsey Properties of Generalized Paley Graphs, Vol 6

• (with David Einstein, Daniel Lichtblau, and Adam Strzebonski) Frobenius Numbers by Lattice Point Enumeration, Vol 7

• The Search for Aurifeuillian-Like Factorizations, Vol 12A

• (with David R. Wood) On Multiplicative Sidon Sets, Vol 13

• (with David Leach) A Characterization of Lattice-ordered Graphs, Vol 7(2)

• Squares in Lucas Sequences with Rational Roots, Vol 5(3)

• (with Pete L. Clark, Jacob Hicks, and Katherine Thompson) GoNII: Universal Quaternary Quadratic Forms, Vol 12

• (with David Borwein, Jonathan M. Borwein, and Armin Straub) Log-Sine Evaluations of Mahler Measures, II, Vol 12A

• On Restricted Sumsets in Abelian Groups of Odd Order, Vol 8(1)

• (with Zhizheng Zhang) A Common Generalization of Some Identities, Vol 5(1)

• (with Weidong Gao) The Maximal Cross Number of Unique Factorization Zero-sum Sequences Over A Finite Abelian Group, Vol 12

• (with Feng-Zhen Zhao) Some Results for Sums of the Inverses of Binomial Coefficients, Vol 5(1)

• (with Wenchang Chu) Multiple Convolution Formulae on Classical Combinatorial Numbers, Vol 7

• (with Émilie Charlier, Narad Rampersad, and Michel Rigo) The Minimal Automaton Recognizing mN in a Linear Numeration System, Vol 11b

• (with Dianxuan Gong) Euler's Pentagonal Number Theorem Implies the Jacobi Triple Product Identity, Vol 11

• (with John M. Freeman and Tomas Schonbek) On the Tennis Ball Problem, Vol 11

• On the Diophantine Equation Π x_i = Σ x_i, Vol 12

• (with Lenny Jones) Sierpiński Numbers in Imaginary Quadratic Fields, Vol 12A

• (with Sylvie Corteel and Carla D. Savage) A Note on Partitions and Compositions Defined by Inequalities, Vol 5(1)

• (with R. K. Guy) Some Monoapparitic Fourth Order Linear Divisibility Sequences, Vol 12A

• (with Arie Bialostocki) On Monochromatic Sets of Integers Whose Diameters Form a Monotone Sequence, Vol 9

• (with Agelos Georgakopoulos) Two-Color Babylon, Vol 12

• (with Damian Słota) Conjugate Sequences in a Fibonacci-Lucas Sense and Some Identities for Sums of Powers of Their Elements, Vol 7

• (with Michael H. Albert, J. P. Grossman, and Richard J. Nowakowski) An Introduction to Clobber, Vol 5(2)
• (with William Fraser and Susan Hirshberg) The structure of the Distributive Lattice of Games Born by Day n, Vol 5(2)

• (with Louis Helm, Phil Moore, and Payam Samidoost) Resolution of the Mixed Sierpiński Problem, Vol 8(1)

• (with Luis Goddyn) Tight Instances of the Lonely Runner, Vol 6

• (with David Wakeham) On Multiplicative Sidon Sets, Vol 13

• A Bijective Proof of f_n+4+f₁ + 2f₂ + ... + n f_n = (n+1)f_n+2+3, Vol 6

• A Variation on Perfect Numbers, Vol 4
• On the Average Orders of a Class of Divisor Functions, Vol 7

• The Impossibility of Certain Types of Carmichael Numbers, Vol 12

X

• Two Generalized Constants related to Zero-Sum Problems for Two Special Sets, Vol 7

• (with Hao Pan) Note on a Congruence Involving Products of Binomial Coefficients, Vol 7

Y

• Linear Equations Involving Iterates of σ(N), Volume 9 Supplement

• (with Ken Kamano and Yasuo Ohno) Weighted Lonesum Matrices and Their Generating Function, Vol 13

• A Combinatorial Proof of Guo's Multi-Generalization of Munarini's Identity, Vol 11

• (with Lindsey Reinholz and Blair K. Spearman) On Congruent Numbers With Three Prime Factors, Vol 11

• (with Feng-Juan Chen) On Bases With a T-Order, Vol 11

• (with Dennis Eichhorn, Mizan R. Khan, and Alan H. Stein) Sums and Differences of the Coordinates of Points on Modular Hyperbolas, Volume 9 Supplement

• (with Marcia Edson) A New Generalization of Fibonacci Sequence and Extended Binet's Formula, Vol 9
• (with Marcia Edson and Scott Lewis) The k-Periodic Fibonacci Sequence and an Extended Binet's Formula, Vol 11

• (with Shaun Cooper and Heung Yeung Lam) Representations of Squares by Certain Septenary Quadratic Forms, Vol 13

• (with Michael Rowell) The Finite Heine Transformation and Conjugate Durfee Squares, Vol 9

• (with D. A. Goldston) Higher Correlations of Divisor Sums Related to Primes I: Triple correlations, Vol 3

• (with K.R.S. Sastry and Shanzhen Gao) Heron Sequences and Their Modifications, Volume 9 Supplement

• (with Florian Luca) Coincidences of Catalan and q-Catalan Numbers, Vol 11A
• Bernoulli Numbers and Generalized Factorial Sums, Vol 11A

• A Note on B₂[G] Sets, Vol 8(1)

• (with Min Tang) A Note on Partitions of Natural Numbers and Their Representation Functions, Vol 12

• (with Jiagui Luo and Alain Togbé) On Some Equations Related to Ma's Conjecture, Vol 11
• (with Guixin Deng) On a Combinatorial Conjecture of Tu and Deng, Vol 12
• (with Li Feng and Yongzhong Hu) On the Diophantine Equation x²-kxy+y²+lx=0, Vol 13

Z

• (with Cristian Cobeli and Adrian Iordache) The Relative Size of Consecutive Odd Denominators in Farey Series, Vol 3
• (with A. H. Ledoan) Square-Full Divisors of Square-Full Integers, Vol 10

• (with Robert Tijdeman) Characterizations of Words With Many Periods, Vol 9

• Symbol-Crunching with the Transfer-Matrix Method in Order to Count Skinny Physical Creatures, Vol 0
• The Umbral Transfer-Matrix Method V: The Goulden-Jackson Cluster Method for Infinitely Many Mistakes, Vol 2
• (with Arthur T. Benjamin) Pythagorean Primes and Palindromic Continued Fractions, Vol 5(1)
• Symbolic Moment Calculus II: Why is Ramsey Theory Sooooo Eeeenormously Hard?, Vol 7(2)
• (with Moa Apagodu) Searching for Strange Hypergeometric Identities by Sheer Brute Force, Vol 8(1)

• (with Harry Altman) Numbers With Integer Complexity Close to the Lower Bound, Vol 12A

• (with Oriol Serra) On a Generalization of a Theorem by Vosper, Vol 0

• The Akiyama-Tanigawa Algorithm for Carlitz's q-Bernoulli Numbers, Vol 6

• On Rainbow Solutions to an Equation with a Quadratic Term, Vol 9

• (with Jun Wang) A Common Generalization of Some Identities, Vol 5(1)

• A Combinatorial Proof of Two Equivalent Identities by Free 2-Motzkin Paths, Vol 13

• (with Tianming Wang) Some Results for Sums of the Inverses of Binomial Coefficients, Vol 5(1)
• (with Cong-Jiao Feng) Some Results for Generalized Harmonic Numbers, Vol 9

• A Note on Colored Tornheim's Double Series, Vol 10
• Witten Volume Formulas for Semi-Simple Lie Algebras, Vol 11A
• On q-Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums, Vol 13

• (with Kevin A. Broughan) Odd Repdigits to Small Bases are Not Perfect, Vol 12
• (with Kevin A. Broughan and Daniel Delbourgo) Improving the Chen and Chen Result for Odd Perfect Numbers, Vol 13

• (with Long Zhu) On K-Imperfect Numbers, Vol 9

• (with Weiyi Zhou) On K-Imperfect Numbers, Vol 9

• (with Jurgen Hartinger and Reinhold Kainhofer) On the corner Avoidance Properties of Various Low-discrepancy Sequences, Vol 5(3)