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  • Conference proceedings
  • © 2021

Combinatorial and Additive Number Theory IV

CANT, New York, USA, 2019 and 2020

  • 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

Conference proceedings info: CANT 2020.

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-67996-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 219.99
Price excludes VAT (USA)
Hardcover Book USD 219.99
Price excludes VAT (USA)

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Table of contents (25 papers)

  1. Front Matter

    Pages i-viii
  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. Widely Digitally Stable Numbers

    • Michael Filaseta, Jacob Juillerat, Jeremiah Southwick
    Pages 161-193
  10. Bounds on Point Configurations Determined by Distances and Dot Products

    • Slade Gunter, Eyvi Palsson, Ben Rhodes, Steven Senger
    Pages 243-260
  11. Distribution of Missing Differences in Diffsets

    • Scott Harvey-Arnold, Steven J. Miller, Fei Peng
    Pages 261-281
  12. Recent Progress in Hilbert Cubes Theory

    • Norbert Hegyvári
    Pages 283-290
  13. Combinatorics of Multicompositions

    • Brian Hopkins, Stéphane Ouvry
    Pages 307-321
  14. Part-Frequency Matrices, II: Recent Work

    • William J. Keith
    Pages 347-356
  15. A Conjectural Inequality for Visible Points in Lattice Parallelograms

    • Gabriel Khan, Mizan R. Khan, Joydip Saha, Peng Zhao
    Pages 357-369

Other Volumes

  1. Combinatorial and Additive Number Theory IV

    CANT, New York, USA, 2019 and 2020

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.

Keywords

  • semi-magic matrices
  • Wilf's conjecture
  • Skolem's conjecture
  • affine subspaces
  • Sidon set
  • automatic multiplicative sequences
  • Ramsey theory
  • multiplicative representations
  • representation functions
  • Erdos-Turan conjecture
  • sumset
  • zero-sum sequences
  • transfer Krull monoids
  • elasticity
  • Goldbach problem
  • Siegel zero
  • generalized Riemann hypothesis
  • Clebsch-Gordan coefficient
  • numerical semigroups
  • Kneser's theorem

Editors and Affiliations

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

    Melvyn B. Nathanson

Bibliographic Information

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-67996-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 219.99
Price excludes VAT (USA)
Hardcover Book USD 219.99
Price excludes VAT (USA)