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Volume 7 (2007)
A1:
Affine Invariants,
Relatively Prime Sets, and a Phi Function for Subsets of
{1, 2, ..., n}
Melvyn B. Nathanson
A2:
Midy's Theorem for Periodic Decimals
Joseph Lewittes
A3:
Generalizations of Midy's Theorem on Repeating Decimals
Harold W. Martin
A4:
Note on a Congruence Involving Products of Binomial
Coefficients
Ping Xu and Hao Pan
A5:
Sets with More Sums than Differences
Melvyn B. Nathanson
A6:
Multi-Ordered Posets
Lisa Bishop and Kendra Killpatrick
A7:
A Short Proof of a Known Density Result
Timothy Foo
A8:
Conjugate Sequences in a Fibonacci-Lucas
Sense and Some Identities for Sums of Powers
of Their Elements
Roman Wituła and Damian Słota
A9:
Representations of Split Graphs,
Their Complements, Stars, and Hypercubes
Darren A. Narayan and Jim Urick
A10:
A Connection Between Ordinary Partitions and
Tilings with Dominoes and Squares
Louis W. Kolitsch
A11:
Integer Sets Having the Maximum Number of Distinct Differences
Oleg Pikhurko and Tomasz Schoen
A12:
A Graphic Generalization of Arithmetic
Bilal Khan, Kiran R. Bhutani, and Delaram Kahrobaei
A13:
On the Average Orders of a Class of Divisor Functions
Roger Woodford
A14:
On the Frobenius Number of Fibonacci Numerical Semigroups
J.M. Marín, J.L. Ramírez Alfonsín, and
M.P. Revuelta
A15:
Frobenius Numbers by Lattice Point Enumeration
David Einstein, Daniel Lichtblau, Adam Strzebonski, and Stan Wagon
A16:
On Congruence Properties of Consecutive
Values of p(n,m)
Brandt Kronholm
A17:
Integers with a Large Smooth Divisor
William D. Banks and Igor E. Shparlinski
A18:
A Remark on the Chebotarev Theorem About Roots of Unity
F. Pakovich
A19:
Triangular Numbers in Geometric Progression
Yong-Gao Chen and Jin-Hui Fang
A20:
A Note on Boolean Lattices and Farey Sequences
Andrey O. Matveev
A21:
On Short Zero-Sum Subsequences II
W. D. Gao, Q. H. Hou, W. A. Schmid, and R. Thangadurai
A22:
Truncating Binomial Series with Symbolic Summation
Peter Paule and Carsten Schneider
A23:
Iterated Exponents in Number Theory
Daniel B. Shapiro and S. David Shapiro
A24:
Ducci Sequences in Higher Dimensions
Florian Breuer
A25:
Computation of q-Partial Fractions
Augustine O. Munagi
A26:
Primitive Prime Divisors in Polynomial Arithmetic Dynamics
Brian Rice
A27:
Combinatorial Proofs of Some Simons-type Binomial Coefficient Identities
Mark Shattuck
A28:
The Number of Representations by Sums of Squares and Triangular Numbers
Heung Yeung Lam
A29:
Disjunctive Rado Numbers for x1 +
x2 + c = x3
Dusty Sabo, Daniel Schaal, and Jacent Tokaz
A30:
A Proof of the Continued Fraction Expansion of e2/s
Takao Kamatsu
A31:
On the Irrationality of a Divisor Function Series
John B. Friedlander, Florian Luca, and Mihai Stoiciu
A32:
Random Bh Sets and Additive
Bases in Zn
Csaba Sándor
A33:
On Factorization of Integers with Restrictions on the Exponents
Simon Litsyn and Vladimir Shevelev
A34:
An Inverse of the Faà di Bruno Formula
Gottlieb Pirsic
A35:
Observations on the Parity of the
Total Number of Parts in Odd-part Partitions
James A. Sellers
A36:
k-Fixed-Points-Permutations
Fanja Rakotondrajao
A37:
Combined Algebraic Properties of Central* Sets
Dibyendu De
A38:
Gaps in the Spectrum of Nathanson Heights of Projective Points
Kevin O'Bryant
A39:
Perfect Delaunay Polytopes in Low Dimensions
Mathieu Dutour, Robert Erdahl, and Konstantin Rybnikov
A40:
An Invariant Sum Related to Record Statistics
Tamás Lengyel
A41:
On Divisibility of Some Power Sums
Tamás Lengyel
A42:
Minimal Zero-sum Sequences of Maximum Length in
the Group C3 ⊕ C3k
Fang Chen and Svetoslav Savchev
A43:
The Number of Relatively Prime Subsets and Phi Functions
for {m, m+1, ..., n}
Mohamed El Bachraoui
A44:
A Congruence for Products of Binomial Coefficients Modulo a
Composite
Andrew D. Loveless
A45:
Tableau Cycling and Catalan Numbers
Jenny Buontempo and Brian Hopkins
A46:
Recurrence Formulae for Multi-poly-Bernoulli Numbers
Y. Hamahata and H. Masubuchi
A47:
On the Property P-1
Tao Liqun
A48:
Some Observations on Khovanskii's Matrix Methods for Extracting Roots
of Polynomials
J. McLaughlin and B. Sury
A49:
On the Order of Points on Curves Over Finite Fields
José Felipe Voloch
A50:
Sets of Lengths Do Not Characterize Numerical Monoids
Jeff Amos, S. T. Chapman, Natalie Hine, and João Paixão
A51:
Multiple Convolution Formulae on Classical Combinatorial Numbers
Wenchang Chu and Xiaoyuan Wang
A52:
Two Generalized Constants related to Zero-Sum Problems for
Two Special Sets
Xingwu Xia
A53:
Improved Bounds on the Number of Ways of Expressing
t as a Binomial Coefficient
Daniel M. Kane
A54:
Asymptotic Estimates for Phi Functions
for Subsets of {m+1,m+2,...,n}
Melvyn B. Nathanson and Brooke Orosz
A55:
Recounting Determinants for a Class of
Hessenberg Matrices
Arthur T. Benjamin and Mark A. Shattuck
A56:
Mixed Sums of Squares and Triangular Numbers (II)
Song Guo, Hao Pan, and Zhi-Wei Sun
A57:
Nonexistence of a Geometric Progression that
Contains Four Triangular Numbers
Jin-Hui Fang
A58:
Floor and Roof Function Analogs of the Bell Numbers
(see also this article's Erratum)
H. W. Gould and Jocelyn Quaintance
A59:
Counting Functions and Finite Differences
Natalio H. Guersenzvaig and Michael Z. Spivey
Games Articles
G1:
Diagonal Peg Solitaire
George I. Bell
G2:
Achieving Snaky
Immanuel Halupczok and Jan-Christoph Schlage-Puchta
G3:
The Sequential Join of Combinatorial Games
Fraser Stewart
G4:
On the Periodicity of Genus Sequences
of Quaternary Games
M. R. Allen
G5:
Winning Paths in N-by-Infinity Hex
Walter Stromquist
G6:
Simplification of Partizan Games in Misère Play
G. A. Mesdal and P. Ottaway
G7:
The Minimum Size Required of a Solitaire Army
George I. Bell, Daniel S. Hirschberg, and Pablo
Guerrero-García
G8:
Some Hardness Results for Question/Answer Games
Sarmad Abbasi and Numan Sheikh
G9:
Further Analysis on the "King and Rook vs. King on
a Quarter-infinite Board" Problem
