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Volume 13 (2013)
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A1:
Simple Arithmetical Criteria for Irreducibility of Polynomials with Integer Coefficients
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A2:
A Short Proof of a Result of Gica and Luca
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A3:
Counting Heron triangles with Constraints
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Pantelimon Stănică, Santanu Sarkar, Sourav Sen Gupta, Subhamoy Maitra, and Nirupam Kar
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A4:
Ramsey Type Results on the Solvability of Certain Equation in Zm
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A5:
A Combinatorial Proof of S-adicity for Sequences with Linear Complexity
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Julien Leroy and Gwenäel Richomme
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A6:
On Interpolating Power Series
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A7:
On Bounds for Two Davenport-type Constants
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H. G. Grundman and C. S. Owens
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A8:
On the Diophantine Equation x2-kxy+y2+lx=0
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Li Feng, Pingzhi Yuan, and Yongzhong Hu
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A9:
On a Sequence of Polynomials with Hypothetically Integer Coefficients
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Vladimir Shevelev and Peter J. C. Moses
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A10:
On Divisibility Properties of Some Differences of the Central Binomial Coefficients and Catalan Numbers
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A11:
Generalized Binomial Expansions and Bernoulli Polynomials
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A12:
The Distribution of Solutions to xy = N (MOD a) with an Application to Factoring Integers
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A13:
Distribution Laws of Pairs of Divisors
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A14:
Sharp Threshold Asymptotics for the Emergence of Additive Bases
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Anant Godbole, Chang Mou Lim, Vince Lyzinski, and Nicholas George Triantafillou
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A15:
On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves
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Markus Kirschmer and Michael H. Mertens
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A16:
Restricted Integer Partition Functions
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A17:
Brun Meets Selmer
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A18:
Thick Subsets that Do Not Contain Arithmetic Progressions
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A19:
Taking the Convoluted Out of Bernoulli Convolutions: A Discrete Approach
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Neil J. Calkin, Julia Davis, Michelle Delcourt, Zebediah Engberg, Jobby Jacob, and Kevin James
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A20:
Some Results on Balancing, Cobalancing, (a,b)-Type Balancing, and (a,b)-Type Cobalancing Numbers
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Bouroubi Sadek and Debbache Ali
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A21:
Valuations and Combinatorics of Truncated Exponential Sums
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T. Amdeberhan, D. Callan, and V. Moll
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A22:
Strict Schur Numbers
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Tanbir Ahmed, Michael G. Eldredge, Jonathan J. Marler, and Hunter S. Snevily
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A23:
On q-Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums
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A24:
On the Fourier Transform of the Greatest Common Divisor
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A25:
Weighted Lonesum Matrices and Their Generating Function
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Ken Kamano, Yasuo Ohno, and Shuji Yamamoto
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A26:
On Multiplicative Sidon Sets
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David Wakeham and David R. Wood
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A27:
Some Weighted Sums of Products of Lucas Sequences
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Emrah Kılıç and Neşe Ömür
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A28:
Additive Energy and the Falconer Distance Problem in Finite Fields
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Doowon Koh and Chun-Yen Shen
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A29:
A Combinatorial Interpretation of the Catalan and Bell Number Difference Tables
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Jocelyn Quaintance and Harris Kwong
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A30:
Pisot Numbers and Chromatic Zeros
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A31:
Coordinate Sum and Difference Sets of d-Dimensional Modular Hyperbolas
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Amanda Bower, Ron Evans, Victor Luo, and Steven J Miller
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A32:
An Infinite Family of Recursive Formulas Generating Power Moments of Kloosterman Sums with Trace One Arguments: O(2n+1, 2r) Case
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A33:
The Diophantine Equation Fny + Fn+1x = Fmx
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Florian Luca and Roger Oyono
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A34:
A Note on the Multiplicative Structure of an Additively Shifted Product Set AA+1
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A35:
Representations of Squares by Certain Septenary Quadratic Forms
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Shaun Cooper, Heung Yeung Lam, and Dongxi Ye
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A36:
Catalan Numbers Modulo a Prime Power
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Yong-Gao Chen and Wen Jiang
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A37:
GoNI: Primes Represented by Binary Quadratic Forms
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Pete L. Clark, Jacob Hicks, Hans Parshall, and Katherine Thompson
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A38:
A Combinatorial Proof of Two Equivalent Identities by Free 2-Motzkin Paths
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A39:
Improving the Chen and Chen Result for Odd Perfect Numbers
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Kevin A. Broughan, Daniel Delbourgo, and Qizhi Zhou
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A40:
Finite Sums that Involve Reciprocals of Products of Generalized Fibonacci Numbers
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A41:
Compositions Constrained by Graph Laplacian Minors
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Benjamin Braun, Robert Davis, Jessica Doering, Ashley Harrison,
Jenna Noll, and Clifford Taylor
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A42:
Edge Growth in Graph Squares
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A43:
New Bounds and Computations on Prime-Indexed Primes
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Jonathan Bayless, Dominic Klyve, and Tomás Oliveira e Silva
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A44:
Gap Distribution of Farey Fractions Under Some Divisibility Constraints
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Florin P. Boca, Byron Heersink, and Paul Spiegelhalter
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A45:
On Finite Sums and Integral Representations
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Anthony Sofo and N. Batir
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A46:
Fine-Wilf Graphs and the Generalized Fine-Wilf Theorem
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A47:
On the Least Significant 2-Adic and Ternary Digits of Certain Stirling Numbers
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A48:
On the Density of Happy Numbers
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A49:
A Remark on Relatively Prime Sets
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A50:
Intersecting Rational Beatty Sequences
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A51:
New Proofs for the p,q-Analogue of Chu-Vandermonde's Identity
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A52:
Remarks on Tiny Zero-Sum Sequences
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Yushuang Fan, Weidong Gao, Jiangtao Peng, Linlin Wang, and Qinghai Zhong
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A53:
A Note on Irregularities of Distribution
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A54:
Generalizing Delannoy Numbers via Counting Weighted Lattice Paths
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A55:
On the Least Primitive Root Expressible as a Sum of Two Squares
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A56:
Stabilization of Coefficients for Partition Polynomials
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Robert P. Boyer and William J. Keith
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A57:
On Sets with More Restricted Sums than Differences
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David Penman and Matthew Wells
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A58:
On an Incomplete Argument of Erdős on the Irrationality of Lambert Series
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A59:
Generalization of Universal Partition and Bipartition Theorems
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Hacène Belbachir and Miloud Mihoubi
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A60:
Some Weighted Sums of Powers of Fibonacci Polynomials
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A61:
Congruences of Concave Composition Functions
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Keenan Monks and Lynnelle Ye
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A62:
Disjunctive Rado Numbers for ax1+x2=x3 and bx1+x2=x3
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Liz Lane-Harvard and Daniel Schaal
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A63:
How to Write a Permutation as a Product of Involutions (and Why You Might Care)
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T. Kyle Petersen and Bridget Eileen Tenner
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A64:
On the Higher-Dimensional Generalization of a Problem of Roth
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A65:
Independent Divisibility Pairs on the Set of Integers from 1 to N
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Rosemary Sullivan and Neil Watling
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A66:
Cycles in Repeated Exponentiation Modulo pn
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A67:
Computation of an Improved Lower Bound to Giuga's Primality Conjecture
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Jonathan Borwein, Christopher Maitland, and Matthew Skerritt
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A68:
Convolution Sums Involving Legendre-Jacobi Symbol and Divisor Functions
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A69:
Optimal Primitive Sets with Restricted Primes
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William D. Banks and Greg Martin
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A70:
A Zero-Sum Theorem Over Z
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Marvin L. Sahs, Papa A. Sissokho, and Jordan N. Torf
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A71:
On the Divisibility of an ± bn by Powers of n
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A72:
Lower Bounds for Sumsets of Multisets in Fp2
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Greg Martin, Alexis Peilloux, and Erick B. Wong
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A73:
On Sequences Without Geometric Progressions
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Melvyn B. Nathanson and Kevin O'Bryant
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A74:
Inclusion-Exclusion Polynomials with Large Coefficients
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A75:
An Explicit Formula for Higher Order Bernoulli Polynomials of the Second Kind
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Haiqing Wang and Guodong Liu
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A76:
A Note on a Conjecture of Erdős, Graham, and Spencer
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Zhongfeng Zhang and Pingzhi Yuan
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A77:
Squares and Difference Sets in Finite Fields
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C. Bachoc, M. Matolcsi, and I. Z. Ruzsa
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A78:
A Family of Fibonacci-Like Conditional Sequences
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Daniel Panario, Murat Sahin, and Qiang Wang
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A79:
On the Residue Classes of π(n) Modulo t
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Ping Ngai Chung and Shiyu Li
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A80:
S-Diophantine Quadruples with Two Primes Congruent to 3 Modulo 4
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László Szalay and Volker Ziegler
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A81:
The Average Largest Prime Factor
Games Articles
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G1:
Captured-Reversible Moves and Star Decomposition Domination in Hex
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Philip Henderson and Ryan B. Hayword
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G2:
Cofinite Induced Subgraphs of Impartial Combinatorial Games: An Analysis of CIS-Nim
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Scott M. Garrabrant, Eric J. Friedman, and Adam Scott Landsberg
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G3:
Pirates and Treasure