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Combinatorial and Additive Number Theory IV

CANT, New York, USA, 2019 and 2020

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Melvyn B. Nathanson

    1. Department of Mathematics, Lehman College (CUNY), Bronx, USA

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  • Contains latest results by experts in the field
  • Surveys state-of-the-art open problems in combinatorial and additive number theory
  • Features a wide variety of topics

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 347)

Included in the following conference series:

Conference proceedings info: CANT 2020.

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Table of contents (25 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Extremal Sequences for Some Weighted Zero-Sum Constants for Cyclic Groups

    • S. D. Adhikari, Md Ibrahim Molla, Shameek Paul
    Pages 1-10

  3. On a Zero-Sum Problem Arising From Factorization Theory

    • Aqsa Bashir, Alfred Geroldinger, Qinghai Zhong
    Pages 11-24

  4. Conditional Bounds on Siegel Zeros

    • Gautami Bhowmik, Karin Halupczok
    Pages 25-39

  5. Infinite Co-minimal Pairs in the Integers and Integral Lattices

    • Arindam Biswas, Jyoti Prakash Saha
    Pages 41-71

  6. Rigidity, Graphs and Hausdorff Dimension

    • Nikolaos Chatzikonstantinou, Alex Iosevich, Sevak Mkrtchyan, Jonathan Pakianathan
    Pages 73-106

  7. On Generalized Harmonic Numbers

    • Yong-Gao Chen, Bing-Ling Wu
    Pages 107-129

  8. Partitions for Semi-magic Squares of Size Three

    • Robert W. Donley
    Pages 131-149

  9. A Sum of Negative Degrees of the Gaps Values in Two-Generated Numerical Semigroups and Identities for the Hurwitz Zeta Function

    • Leonid G. Fel, Takao Komatsu, Ade Irma Suriajaya
    Pages 151-160

  10. Widely Digitally Stable Numbers

    • Michael Filaseta, Jacob Juillerat, Jeremiah Southwick
    Pages 161-193

  11. Non-injectivity of Nonzero Discriminant Polynomials and Applications to Packing Polynomials

    • KÃ¥re S. Gjaldbæk
    Pages 195-201

  12. Representing Sequence Subsums as Sumsets of Near Equal Sized Sets

    • David J. Grynkiewicz
    Pages 203-241

  13. Bounds on Point Configurations Determined by Distances and Dot Products

    • Slade Gunter, Eyvi Palsson, Ben Rhodes, Steven Senger
    Pages 243-260

  14. Distribution of Missing Differences in Diffsets

    • Scott Harvey-Arnold, Steven J. Miller, Fei Peng
    Pages 261-281

  15. Recent Progress in Hilbert Cubes Theory

    • Norbert Hegyvári
    Pages 283-290

  16. Intrinsic Characterization of Representation Functions and Generalizations

    • Charles Helou
    Pages 291-305

  17. Combinatorics of Multicompositions

    • Brian Hopkins, Stéphane Ouvry
    Pages 307-321

  18. On the Connection Between the Goldbach Conjecture and the Elliott-Halberstam Conjecture

    • Jing-Jing Huang, Huixi Li
    Pages 323-346

  19. Part-Frequency Matrices, II: Recent Work

    • William J. Keith
    Pages 347-356

  20. A Conjectural Inequality for Visible Points in Lattice Parallelograms

    • Gabriel Khan, Mizan R. Khan, Joydip Saha, Peng Zhao
    Pages 357-369
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  1. Combinatorial and Additive Number Theory IV

Keywords

About this book

This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020 workshops at the City University of New York. The latter was held online due to the COVID-19 pandemic, and featured speakers from North and South America, Europe, and Asia. The 2020 Zoom conference was the largest CANT conference in terms of the number of both lectures and participants.


These proceedings contain 25 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003 at the CUNY Graduate Center, the workshop surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Topics featured in this volume include sumsets, zero-sum sequences, minimal complements, analytic and prime number theory, Hausdorff dimension, combinatorial and discrete geometry, and Ramsey theory. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.


Editors and Affiliations

  • Department of Mathematics, Lehman College (CUNY), Bronx, USA

    Melvyn B. Nathanson

Bibliographic Information

  • Book Title: Combinatorial and Additive Number Theory IV

  • Book Subtitle: CANT, New York, USA, 2019 and 2020

  • Editors: Melvyn B. Nathanson

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-030-67996-5

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-67995-8Published: 14 August 2021

  • Softcover ISBN: 978-3-030-67998-9Published: 15 August 2022

  • eBook ISBN: 978-3-030-67996-5Published: 12 August 2021

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: VIII, 445

  • Number of Illustrations: 52 b/w illustrations, 4 illustrations in colour

  • Topics: Number Theory, Discrete Mathematics, Group Theory and Generalizations

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