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book: Combinatorial Number Theory
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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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De Gruyter Proceedings in Mathematics
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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

  • Publicly Available

    Frontmatter

    I
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    Preface: Proceedings of the Integers Conference 2023

    V
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  • Publicly Available

    Contents

    VII
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    Computations and observations on congruence covering systems

    1
    Raj Agrawal, Prarthana Bhatia, Kratik Gupta, Powers Lamb, Andrew Lott, Alex Rice and Christine Rose Ward
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    Balanced N-color compositions

    11
    Jesús Sistos Barrón and Hua Wang
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    Computing four-term arithmetic progressions of powerful numbers

    25
    Michael A. Bennett and P. G. Walsh
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    Combinatorial identities for vacillating tableaux

    31
    Zhanar Berikkyzy, Pamela E. Harris, Anna Pun, Catherine Yan and Chenchen Zhao
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    Odd vector cycles in ℤm

    65
    Gaston A. Brouwer, Jonathan Joe and Matt Noble
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    Powered numbers in short intervals

    83
    Tsz Ho Chan
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    Schreier multisets and the s-step Fibonacci sequences

    91
    Hùng Việt Chu, Nurettin Irmak, Steven J. Miller, László Szalay and Sindy Xin Zhang
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    Tabulating absolute Lucas pseudoprimes

    103
    Chloe Helmreich and Jonathan Webster
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    Henrik Eriksson’s Bulgarian Solitaire variant

    121
    Brian Hopkins
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    On a generalization of a theorem of Ibukiyama to evaluate three imprimitive character sums

    135
    Brad Isaacson
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    Composition-theoretic series and false theta functions

    151
    William J. Keith, Robert Schneider and Andrew V. Sills
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    On the constants in Mertens’ theorems for primes in arithmetic progressions

    169
    Daniel Keliher and Ethan Simpson Lee
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    Dot product chains

    183
    Shelby Kilmer, Caleb Marshall and Steven Senger
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    Permutation patterns of the iterated Syracuse function

    199
    Melvyn B. Nathanson
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    An upper bound on the inhomogeneous approximation constants

    223
    Bishnu Paudel and Chris Pinner
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    On the minimum number of monochromatic 2-dimensional Schur triples

    233
    Aaron Robertson
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    The Scholz conjecture on addition chains is true for infinitely many integers with ℓ(2n) = ℓ(n)

    243
    Amadou Tall
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    Digital problems in the theory of partitions

    251
    Joseph Vandehey
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    A combinatorial proof of a partition perimeter inequality

    269
    Hunter Waldron
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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.
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