Combinatorial Number Theory: Proceedings of the Integers Conference 2023

Book

Combinatorial Number Theory

Proceedings of the Integers Conference 2023

Edited by: Bruce M. Landman , Florian Luca , Melvyn Nathanson , Jaroslav Nešetřil and Aaron Robertson

Language: English

Published/Copyright: 2025

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This book is in the series

De Gruyter Proceedings in Mathematics

About this book

This volume consists of twenty articles stemming from presentations given at the 2023 Integers Conference. They represent a variety of active areas of research in combinatorial number theory, including additive number theory, multiplicative number theory, elementary number theory, the theory of partitions, Ramsey theory, sequences, algebraic combinatorics, enumerative combinatorics, and Diophantine equations.

Includes contributions from several distinguished scholars
Focuses on many trending topics in number theory and combinatorics.
Of Interest to researchers and graduate students working in combinatoric game theory

Author / Editor information

B. Landman, USA; F. Luca, South Africa; M. Nathanson, USA; J. Nešetřil, USA; A. Robertson, USA.

Topics

Frontmatter Publicly Available Download PDF	I
Preface: Proceedings of the Integers Conference 2023 Publicly Available Download PDF	V
Contents Publicly Available Download PDF	VII
Computations and observations on congruence covering systems Raj Agrawal, Prarthana Bhatia, Kratik Gupta, Powers Lamb, Andrew Lott, Alex Rice and Christine Rose Ward Requires Authentication Unlicensed Licensed	1
Balanced N-color compositions Jesús Sistos Barrón and Hua Wang Requires Authentication Unlicensed Licensed	11
Computing four-term arithmetic progressions of powerful numbers Michael A. Bennett and P. G. Walsh Requires Authentication Unlicensed Licensed	25
Combinatorial identities for vacillating tableaux Zhanar Berikkyzy, Pamela E. Harris, Anna Pun, Catherine Yan and Chenchen Zhao Requires Authentication Unlicensed Licensed	31
Odd vector cycles in ℤ^m Gaston A. Brouwer, Jonathan Joe and Matt Noble Requires Authentication Unlicensed Licensed	65
Powered numbers in short intervals Tsz Ho Chan Requires Authentication Unlicensed Licensed	83
Schreier multisets and the s-step Fibonacci sequences Hùng Việt Chu, Nurettin Irmak, Steven J. Miller, László Szalay and Sindy Xin Zhang Requires Authentication Unlicensed Licensed	91
Tabulating absolute Lucas pseudoprimes Chloe Helmreich and Jonathan Webster Requires Authentication Unlicensed Licensed	103
Henrik Eriksson’s Bulgarian Solitaire variant Brian Hopkins Requires Authentication Unlicensed Licensed	121
On a generalization of a theorem of Ibukiyama to evaluate three imprimitive character sums Brad Isaacson Requires Authentication Unlicensed Licensed	135
Composition-theoretic series and false theta functions William J. Keith, Robert Schneider and Andrew V. Sills Requires Authentication Unlicensed Licensed	151
On the constants in Mertens’ theorems for primes in arithmetic progressions Daniel Keliher and Ethan Simpson Lee Requires Authentication Unlicensed Licensed	169
Dot product chains Shelby Kilmer, Caleb Marshall and Steven Senger Requires Authentication Unlicensed Licensed	183
Permutation patterns of the iterated Syracuse function Melvyn B. Nathanson Requires Authentication Unlicensed Licensed	199
An upper bound on the inhomogeneous approximation constants Bishnu Paudel and Chris Pinner Requires Authentication Unlicensed Licensed	223
On the minimum number of monochromatic 2-dimensional Schur triples Aaron Robertson Requires Authentication Unlicensed Licensed	233
The Scholz conjecture on addition chains is true for infinitely many integers with ℓ(2n) = ℓ(n) Amadou Tall Requires Authentication Unlicensed Licensed	243
Digital problems in the theory of partitions Joseph Vandehey Requires Authentication Unlicensed Licensed	251
A combinatorial proof of a partition perimeter inequality Hunter Waldron Requires Authentication Unlicensed Licensed	269

Publishing information

Pages and Images/Illustrations in book

eBook published on:

November 4, 2024

eBook ISBN:

9783111395593

Hardcover published on:

November 4, 2024

Hardcover ISBN:

9783111395401

Pages and Images/Illustrations in book

Front matter:

8

Main content:

280

Illustrations:

32

Tables:

28

https://doi.org/10.1515/9783111395593

eBook ISBN: 9783111395593

Hardcover ISBN: 9783111395401

Keywords for this book

Number Theory; Combinatorics; Ramsey Theory; Sequences; Partitions

Audience(s) for this book

Libraries as well as researchers, and graduate students interested in number theory and combinatorics.

Safety & product resources

Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Combinatorial Number Theory

Overview

About this book

Author / Editor information

Topics

Table of contents

Bibliographic data