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