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Volume 13 (2013)

• A1: Simple Arithmetical Criteria for Irreducibility of Polynomials with Integer Coefficients
  • Natalio H. Guersenzvaig
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171690

• A2: A Short Proof of a Result of Gica and Luca
  • Mickey Polasub
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171696

• A3: Counting Heron triangles with Constraints
  • Pantelimon Stănică, Santanu Sarkar, Sourav Sen Gupta, Subhamoy Maitra, and Nirupam Kar
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171703

• A4: Ramsey Type Results on the Solvability of Certain Equation in Z_m
  • Péter Pál Pach
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171708

• A5: A Combinatorial Proof of S-adicity for Sequences with Linear Complexity
  • Julien Leroy and Gwenäel Richomme
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171714

• A6: On Interpolating Power Series
  • James Guyker
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171720

• A7: On Bounds for Two Davenport-type Constants
  • H. G. Grundman and C. S. Owens
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171727

• A8: On the Diophantine Equation x²-kxy+y²+lx=0
  • Li Feng, Pingzhi Yuan, and Yongzhong Hu
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171735

• A9: On a Sequence of Polynomials with Hypothetically Integer Coefficients
  • Vladimir Shevelev and Peter J. C. Moses
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171753

• A10: On Divisibility Properties of Some Differences of the Central Binomial Coefficients and Catalan Numbers
  • Tamás Lengyel
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171759

• A11: Generalized Binomial Expansions and Bernoulli Polynomials
  • Hieu D. Nguyen
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171765

• A12: The Distribution of Solutions to xy = N (Mod a) with an Application to Factoring Integers
  • Michael O. Rubinstein
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171775

• A13: Distribution Laws of Pairs of Divisors
  • S. Nyandwi and A. Smati
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171785

• A14: Sharp Threshold Asymptotics for the Emergence of Additive Bases
  • Anant Godbole, Chang Mou Lim, Vince Lyzinski, and Nicholas George Triantafillou
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171793

• A15: On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves
  • Markus Kirschmer and Michael H. Mertens
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      DOI: 10.5281/zenodo.10171803

• A16: Restricted Integer Partition Functions
  • Noga Alon
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171805

• A17: Brun Meets Selmer
  • Fritz Schweiger
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171809

• A18: Thick Subsets that Do Not Contain Arithmetic Progressions
  • Kevin O'Bryant
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171815

• 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
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171825

• A20: Some Results on Balancing, Cobalancing, (a,b)-Type Balancing, and (a,b)-Type Cobalancing Numbers
  • Bouroubi Sadek and Debbache Ali
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10171854

• A21: Valuations and Combinatorics of Truncated Exponential Sums
  • T. Amdeberhan, D. Callan, and V. Moll
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10183978

• A22: Strict Schur Numbers
  • Tanbir Ahmed, Michael G. Eldredge, Jonathan J. Marler, and Hunter S. Snevily
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10183980

• A23: On q-Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums
  • Jianqiang Zhao
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10183984

• A24: On the Fourier Transform of the Greatest Common Divisor
  • Peter H. van der Kamp
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10183991

• A25: Weighted Lonesum Matrices and Their Generating Function
  • Ken Kamano, Yasuo Ohno, and Shuji Yamamoto
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10183995

• A26: On Multiplicative Sidon Sets
  • David Wakeham and David R. Wood
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10184000

• A27: Some Weighted Sums of Products of Lucas Sequences
  • Emrah Kılıç and Neşe Ömür
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10184004

• A28: Additive Energy and the Falconer Distance Problem in Finite Fields
  • Doowon Koh and Chun-Yen Shen
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10184009

• A29: A Combinatorial Interpretation of the Catalan and Bell Number Difference Tables
  • Jocelyn Quaintance and Harris Kwong
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10184015

• A30: Pisot Numbers and Chromatic Zeros
  • Víctor F. Sirvent
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10184019

• A31: Coordinate Sum and Difference Sets of d-Dimensional Modular Hyperbolas
  • Amanda Bower, Ron Evans, Victor Luo, and Steven J Miller
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10184023

• A32: An Infinite Family of Recursive Formulas Generating Power Moments of Kloosterman Sums with Trace One Arguments:
           O(2n+1, 2^r) Case
  • Dae San Kim
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10184031

• A33: The Diophantine Equation F_n^y + F_n+1^x = F_m^x
  • Florian Luca and Roger Oyono
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10184035

• A34: A Note on the Multiplicative Structure of an Additively Shifted Product Set AA+1
  • Steven Senger
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10184045

• A35: Representations of Squares by Certain Septenary Quadratic Forms
  • Shaun Cooper, Heung Yeung Lam, and Dongxi Ye
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10184047

• A36: Catalan Numbers Modulo a Prime Power
  • Yong-Gao Chen and Wen Jiang
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199687

• A37: GoNI: Primes Represented by Binary Quadratic Forms
  • Pete L. Clark, Jacob Hicks, Hans Parshall, and Katherine Thompson
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199689

• A38: A Combinatorial Proof of Two Equivalent Identities by Free 2-Motzkin Paths
  • Alina F. Y. Zhao
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199693

• A39: Improving the Chen and Chen Result for Odd Perfect Numbers
  • Kevin A. Broughan, Daniel Delbourgo, and Qizhi Zhou
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199703

• A40: Finite Sums that Involve Reciprocals of Products of Generalized Fibonacci Numbers
  • R.S. Melham
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199705

• A41: Compositions Constrained by Graph Laplacian Minors
  • Benjamin Braun, Robert Davis, Jessica Doering, Ashley Harrison, Jenna Noll, and Clifford Taylor
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199707

• A42: Edge Growth in Graph Squares
  • Michael Goff
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199715

• A43: New Bounds and Computations on Prime-Indexed Primes
  • Jonathan Bayless, Dominic Klyve, and Tomás Oliveira e Silva
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199719

• A44: Gap Distribution of Farey Fractions under Some Divisibility Constraints
  • Florin P. Boca, Byron Heersink, and Paul Spiegelhalter
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199725

• A45: On Finite Sums and Integral Representations
  • Anthony Sofo and N. Batir
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199733

• A46: Fine-Wilf Graphs and the Generalized Fine-Wilf Theorem
  • Stuart A. Rankin
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199739

• A47: On the Least Significant 2-Adic and Ternary Digits of Certain Stirling Numbers
  • Tomás Lengyel
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199747

• A48: On the Density of Happy Numbers
  • J. Gilmer
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199751

• A49: A Remark on Relatively Prime Sets
  • Prapanpong Pongsriiam
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199757

• A50: Intersecting Rational Beatty Sequences
  • Jamie Simpson
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10199763

• A51: New Proofs for the p,q-Analogue of Chu-Vandermonde's Identity
  • George Teşeleanu
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10200445

• A52: Remarks on Tiny Zero-Sum Sequences
  • Yushuang Fan, Weidong Gao, Jiangtao Peng, Linlin Wang, and Qinghai Zhong
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10200451

• A53: A Note on Irregularities of Distribution
  • R. L. Graham
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10200460

• A54: Generalizing Delannoy Numbers via Counting Weighted Lattice Paths
  • M. Dziemiańczuk
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10200471

• A55: On the Least Primitive Root Expressible as a Sum of Two Squares
  • Christopher Ambrose
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10244352

• A56: Stabilization of Coefficients for Partition Polynomials
  • Robert P. Boyer and William J. Keith
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10244372

• A57: On Sets with More Restricted Sums than Differences
  • David Penman and Matthew Wells
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10244439

• A58: On an Incomplete Argument of Erdős on the Irrationality of Lambert Series
  • Joseph Vandehey
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10244478

• A59: Generalization of Universal Partition and Bipartition Theorems
  • Hacène Belbachir and Miloud Mihoubi
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10244500

• A60: Some Weighted Sums of Powers of Fibonacci Polynomials
  • Claudio Pita Ruiz
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10244522

• A61: Congruences of Concave Composition Functions
  • Keenan Monks and Lynnelle Ye
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10244556

• A62: Disjunctive Rado Numbers for ax₁+x₂=x₃ and bx₁+x₂=x₃
  • Liz Lane-Harvard and Daniel Schaal
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10244574

• A63: How to Write a Permutation as a Product of Involutions (and Why You Might Care)
  • T. Kyle Petersen and Bridget Eileen Tenner
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10244598

• A64: On the Higher-Dimensional Generalization of a Problem of Roth
  • József Borbély
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10244622

• A65: Independent Divisibility Pairs on the Set of Integers from 1 to N
  • Rosemary Sullivan and Neil Watling
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10244648

• A66: Cycles in Repeated Exponentiation Modulo pⁿ
  • Lev Glebsky
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10408942

• A67: Computation of an Improved Lower Bound to Giuga's Primality Conjecture
  • Jonathan Borwein, Christopher Maitland, and Matthew Skerritt
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10408952

• A68: Convolution Sums Involving Legendre-Jacobi Symbol and Divisor Functions
  • Mohamed El Bachraoui
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10408959

• A69: Optimal Primitive Sets with Restricted Primes
  • William D. Banks and Greg Martin
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10408967

• A70: A Zero-Sum Theorem Over Z
  • Marvin L. Sahs, Papa A. Sissokho, and Jordan N. Torf
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10408972

• A71: On the Divisibility of aⁿ ± bⁿ by Powers of n
  • Salvatore Tringali
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10408978

• A72: Lower Bounds for Sumsets of Multisets in F_p²
  • Greg Martin, Alexis Peilloux, and Erick B. Wong
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10408988

• A73: On Sequences without Geometric Progressions
  • Melvyn B. Nathanson and Kevin O'Bryant
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10408996

• A74: Inclusion-Exclusion Polynomials with Large Coefficients
  • Bartłomiej Bzdȩga
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10408998

• A75: An Explicit Formula for Higher Order Bernoulli Polynomials of the Second Kind
  • Haiqing Wang and Guodong Liu
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10409008

• A76: A Note on a Conjecture of Erdős, Graham, and Spencer
  • Zhongfeng Zhang and Pingzhi Yuan
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10409016

• A77: Squares and Difference Sets in Finite Fields
  • C. Bachoc, M. Matolcsi, and I. Z. Ruzsa
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10409024

• A78: A Family of Fibonacci-Like Conditional Sequences
  • Daniel Panario, Murat Sahin, and Qiang Wang
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10409034

• A79: On the Residue Classes of π(n) Modulo t
  • Ping Ngai Chung and Shiyu Li
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10409040

• A80: S-Diophantine Quadruples with Two Primes Congruent to 3 Modulo 4
  • László Szalay and Volker Ziegler
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10409043

• A81: The Average Largest Prime Factor
  • Eric Naslund
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10409045

Games Articles

• G1: Captured-Reversible Moves and Star Decomposition Domination in Hex
  • Philip Henderson and Ryan B. Hayward
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10409047

• G2: Cofinite Induced Subgraphs of Impartial Combinatorial Games: An Analysis of CIS-Nim
  • Scott M. Garrabrant, Eric J. Friedman, and Adam Scott Landsberg
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10409053

• G3: Pirates and Treasure
  • Fraser Stewart
    • Select Abstract PDF
      DOI: 10.5281/zenodo.10409057

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