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Volume 13 (2013)
A1:
Simple Arithmetical Criteria for Irreducibility of Polynomials with Integer Coefficients
A2:
A Short Proof of a Result of Gica and Luca
A3:
Counting Heron triangles with Constraints
Pantelimon Stănică, Santanu Sarkar, Sourav Sen Gupta, Subhamoy Maitra, and Nirupam Kar
A4:
Ramsey Type Results on the Solvability of Certain Equation in Zm
A5:
A Combinatorial Proof of S
Julien Leroy and Gwenäel Richomme
A6:
On Interpolating Power Series
A7:
On Bounds for Two Davenport-type Constants
H. G. Grundman and C. S. Owens
A8:
On the Diophantine Equation x2 -kxy+y2 +lx=0
Li Feng, Pingzhi Yuan, and Yongzhong Hu
A9:
On a Sequence of Polynomials with Hypothetically Integer Coefficients
Vladimir Shevelev and Peter J. C. Moses
A10:
On Divisibility Properties of Some Differences of the Central Binomial Coefficients and Catalan Numbers
A11:
Generalized Binomial Expansions and Bernoulli Polynomials
A12:
The Distribution of Solutions to xy = N (MOD a ) with an Application to Factoring Integers
A13:
Distribution Laws of Pairs of Divisors
A14:
Sharp Threshold Asymptotics for the Emergence of Additive Bases
Anant Godbole, Chang Mou Lim, Vince Lyzinski, and Nicholas George Triantafillou
A15:
On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves
Markus Kirschmer and Michael H. Mertens
A16:
Restricted Integer Partition Functions
A17:
Brun Meets Selmer
A18:
Thick Subsets that Do Not Contain Arithmetic Progressions
A19:
Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach
Neil J. Calkin, Julia Davis, Michelle Delcourt, Zebediah Engberg, Jobby Jacob, and Kevin James
A20:
Some Results on Balancing, Cobalancing, (a,b) -Type Balancing, and (a,b) -Type Cobalancing Numbers
Bouroubi Sadek and Debbache Ali
A21:
Valuations and Combinatorics of Truncated Exponential Sums
T. Amdeberhan, D. Callan, and V. Moll
A22:
Strict Schur Numbers
Tanbir Ahmed, Michael G. Eldredge, Jonathan J. Marler, and Hunter S. Snevily
A23:
On q -Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums
A24:
On the Fourier Transform of the Greatest Common Divisor
A25:
Weighted Lonesum Matrices and Their Generating Function
Ken Kamano, Yasuo Ohno, and Shuji Yamamoto
A26:
On Multiplicative Sidon Sets
David Wakeham and David R. Wood
A27:
Some Weighted Sums of Products of Lucas Sequences
Emrah Kılıç and Neşe Ömür
A28:
Additive Energy and the Falconer Distance Problem in Finite Fields
Doowon Koh and Chun-Yen Shen
A29:
A Combinatorial Interpretation of the Catalan and Bell Number Difference Tables
Jocelyn Quaintance and Harris Kwong
A30:
Pisot Numbers and Chromatic Zeros
A31:
Coordinate Sum and Difference Sets of d -Dimensional Modular Hyperbolas
Amanda Bower, Ron Evans, Victor Luo, and Steven J Miller
A32:
An Infinite Family of Recursive Formulas Generating Power Moments of Kloosterman Sums with Trace One Arguments: O(2n+1, 2r ) Case
A33:
The Diophantine Equation Fn y + Fn+1 x = Fm x
Florian Luca and Roger Oyono
A34:
A Note on the Multiplicative Structure of an Additively Shifted Product Set AA+1
A35:
Representations of Squares by Certain Septenary Quadratic Forms
Shaun Cooper, Heung Yeung Lam, and Dongxi Ye
A36:
Catalan Numbers Modulo a Prime Power
Yong-Gao Chen and Wen Jiang
A37:
GoNI: Primes Represented by Binary Quadratic Forms
Pete L. Clark, Jacob Hicks, Hans Parshall, and Katherine Thompson
A38:
A Combinatorial Proof of Two Equivalent Identities by Free 2-Motzkin Paths
A39:
Improving the Chen and Chen Result for Odd Perfect Numbers
Kevin A. Broughan, Daniel Delbourgo, and Qizhi Zhou
A40:
Finite Sums that Involve Reciprocals of Products of Generalized Fibonacci Numbers
A41:
Compositions Constrained by Graph Laplacian Minors
Benjamin Braun, Robert Davis, Jessica Doering, Ashley Harrison,
Jenna Noll, and Clifford Taylor
A42:
Edge Growth in Graph Squares
A43:
New Bounds and Computations on Prime-Indexed Primes
Jonathan Bayless, Dominic Klyve, and Tomás Oliveira e Silva
A44:
Gap Distribution of Farey Fractions Under Some Divisibility Constraints
Florin P. Boca, Byron Heersink, and Paul Spiegelhalter
A45:
On Finite Sums and Integral Representations
Anthony Sofo and N. Batir
A46:
Fine-Wilf Graphs and the Generalized Fine-Wilf Theorem
A47:
On the Least Significant 2-Adic and Ternary Digits of Certain Stirling Numbers
A48:
On the Density of Happy Numbers
A49:
A Remark on Relatively Prime Sets
A50:
Intersecting Rational Beatty Sequences
A51:
New Proofs for the p,q -Analogue of Chu-Vandermonde's Identity
A52:
Remarks on Tiny Zero-Sum Sequences
Yushuang Fan, Weidong Gao, Jiangtao Peng, Linlin Wang, and Qinghai Zhong
A53:
A Note on Irregularities of Distribution
A54:
Generalizing Delannoy Numbers via Counting Weighted Lattice Paths
A55:
On the Least Primitive Root Expressible as a Sum of Two Squares
A56:
Stabilization of Coefficients for Partition Polynomials
Robert P. Boyer and William J. Keith
A57:
On Sets with More Restricted Sums than Differences
David Penman and Matthew Wells
A58:
On an Incomplete Argument of Erdős on the Irrationality of Lambert Series
A59:
Generalization of Universal Partition and Bipartition Theorems
Hacène Belbachir and Miloud Mihoubi
A60:
Some Weighted Sums of Powers of Fibonacci Polynomials
A61:
Congruences of Concave Composition Functions
Keenan Monks and Lynnelle Ye
A62:
Disjunctive Rado Numbers for ax1 +x2 =x3 and bx1 +x2 =x3
Liz Lane-Harvard and Daniel Schaal
A63:
How to Write a Permutation as a Product of Involutions (and Why You Might Care)
T. Kyle Petersen and Bridget Eileen Tenner
A64:
On the Higher-Dimensional Generalization of a Problem of Roth
A65:
Independent Divisibility Pairs on the Set of Integers from 1 to N
Rosemary Sullivan and Neil Watling
A66:
Cycles in Repeated Exponentiation Modulo pn
A67:
Computation of an Improved Lower Bound to Giuga's Primality Conjecture
Jonathan Borwein, Christopher Maitland, and Matthew Skerritt
A68:
Convolution Sums Involving Legendre-Jacobi Symbol and Divisor Functions
A69:
Optimal Primitive Sets with Restricted Primes
William D. Banks and Greg Martin
A70:
A Zero-Sum Theorem Over Z
Marvin L. Sahs, Papa A. Sissokho, and Jordan N. Torf
A71:
On the Divisibility of an ± bn by Powers of n
A72:
Lower Bounds for Sumsets of Multisets in Fp 2
Greg Martin, Alexis Peilloux, and Erick B. Wong
A73:
On Sequences Without Geometric Progressions
Melvyn B. Nathanson and Kevin O'Bryant
A74:
Inclusion-Exclusion Polynomials with Large Coefficients
A75:
An Explicit Formula for Higher Order Bernoulli Polynomials of the Second Kind
Haiqing Wang and Guodong Liu
A76:
A Note on a Conjecture of Erdős, Graham, and Spencer
Zhongfeng Zhang and Pingzhi Yuan
A77:
Squares and Difference Sets in Finite Fields
C. Bachoc, M. Matolcsi, and I. Z. Ruzsa
A78:
A Family of Fibonacci-Like Conditional Sequences
Daniel Panario, Murat Sahin, and Qiang Wang
A79:
On the Residue Classes of π(n) Modulo t
Ping Ngai Chung and Shiyu Li
A80:
S -Diophantine Quadruples with Two Primes Congruent to 3 Modulo 4
László Szalay and Volker Ziegler
A81:
The Average Largest Prime Factor
Games Articles
G1:
Captured-Reversible Moves and Star Decomposition Domination in Hex
Philip Henderson and Ryan B. Hayword
G2:
Cofinite Induced Subgraphs of Impartial Combinatorial Games: An Analysis of CIS-Nim
Scott M. Garrabrant, Eric J. Friedman, and Adam Scott Landsberg
G3:
Pirates and Treasure
