Please select the file type you wish to view from the
pop-up menu and then click on Retrieve.  If you wish
to view pdf files, you can download Adobe's free viewer from
here.
Please Note:
For security purposes, if you download a file, the default
extension on your browser will be .cgi.  You should change
this to the proper extension (.dvi or .pdf) before
saving.
 
Volume 7 (2007) 
- 
A1: 
Affine Invariants,
Relatively Prime Sets, and a Phi Function for Subsets of
{1, 2, ..., n}
 - 
A2:
Midy's Theorem for Periodic Decimals
 - 
A3:
Generalizations of Midy's Theorem on Repeating Decimals
 - 
A4:
Note on a Congruence Involving Products of Binomial
Coefficients
 - 
A5:
Sets with More Sums than Differences
 - 
A6:
Multi-Ordered Posets
- 
Lisa Bishop and Kendra Killpatrick
 
 - 
A7:
A Short Proof of a Known Density Result
 - 
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
 - 
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
 - 
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)
 - 
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
 - 
A19:
Triangular Numbers in Geometric Progression
- 
Yong-Gao Chen and Jin-Hui Fang
 
 - 
A20:
A Note on Boolean Lattices and Farey Sequences
 - 
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
 - 
A25:
Computation of q-Partial Fractions
 - 
A26:
Primitive Prime Divisors in Polynomial Arithmetic Dynamics
 - 
A27:
Combinatorial Proofs of Some Simons-type Binomial Coefficient Identities
 - 
A28:
The Number of Representations by Sums of Squares and Triangular Numbers
 - 
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
 - 
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
                                                        
 - 
A33:
On Factorization of Integers with Restrictions on the Exponents
                                                        
- 
Simon Litsyn and Vladimir Shevelev
 
 - 
A34:
An Inverse of the Faà di Bruno Formula
 - 
A35:
Observations on the Parity of the
Total Number of Parts in Odd-part Partitions
 - 
A36:
k-Fixed-Points-Permutations
 - 
A37:
Combined Algebraic Properties of Central* Sets
 - 
A38:
Gaps in the Spectrum of Nathanson Heights of Projective Points
 - 
A39:
Perfect Delaunay Polytopes in Low Dimensions
-                                                     
Mathieu Dutour, Robert Erdahl, and Konstantin Rybnikov
                                                       
 
 - 
A40:
An Invariant Sum Related to Record Statistics
 - 
A41:
On Divisibility of Some Power Sums
 - 
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}
 - 
A44:
A Congruence for Products of Binomial Coefficients Modulo a
Composite
 - 
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
 - 
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
 - 
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
 - 
A53:
Improved Bounds on the Number of Ways of Expressing
t as a Binomial Coefficient
 - 
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 Suo, Hao Pan, and Zhi-Wei Sun
                                                       
 
 - 
A57:
Nonexistence of a Geometric Progression that
Contains Four Triangular Numbers
 - 
A58:
Floor and Roof Function Analogs of the Bell Numbers
-                                                     
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
 - 
G2:
Achieving Snaky
- 
Immanuel Halupczok and Jan-Christoph Schlage-Puchta
 
 - 
G3:
The Sequential Join of Combinatorial Games
 - 
G4:
On the Periodicity of Genus Sequences
of Quaternary Games
 - 
G5:
Winning Paths in N-by-Infinity Hex
 - 
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
- 
Siddhartha Kanungo and Richard M. Low