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Combinatorial and Additive Number Theory III

CANT, New York, USA, 2017 and 2018

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Melvyn B. Nathanson

    1. Department of Mathematics, Lehman College and the Graduate Center, City University of New York, New York, USA

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  • Contains latest results by experts in the field
  • Features a variety of topics including sumsets, partitions, and Ramsey theory
  • Surveys state-of-the-art open problems in combinatorial and additive number theory and related areas of mathematics

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 297)

Included in the following conference series:

Conference proceedings info: CANT 2018.

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Table of contents (17 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Weighted Zero-Sums for Some Finite Abelian Groups of Higher Ranks

    • S. D. Adhikari, Bidisha Roy, Subha Sarkar
    Pages 1-12

  3. Counting Monogenic Cubic Orders

    • Shabnam Akhtari
    Pages 13-24

  4. The Zeckendorf Game

    • Paul Baird-Smith, Alyssa Epstein, Kristen Flint, Steven J. Miller
    Pages 25-38

  5. Iterated Riesel and Iterated Sierpiński Numbers

    • Holly Paige Chaos, Carrie E. Finch-Smith
    Pages 39-54

  6. A General Framework for Studying Finite Rainbow Configurations

    • Mike Desgrottes, Steven Senger, David Soukup, Renjun Zhu
    Pages 55-63

  7. Translation Invariant Filters and van der Waerden’s Theorem

    • Mauro Di Nasso
    Pages 65-74

  8. Central Values for Clebsch–Gordan Coefficients

    • Robert W. Donley Jr.
    Pages 75-100

  9. Numerical Semigroups Generated by Squares and Cubes of Three Consecutive Integers

    • Leonid G. Fel
    Pages 101-121

  10. On Supra-SIM Sets of Natural Numbers

    • Isaac Goldbring, Steven Leth
    Pages 123-132

  11. Mean Row Values in (u, v)-Calkin–Wilf Trees

    • Sandie Han, Ariane M. Masuda, Satyanand Singh, Johann Thiel
    Pages 133-146

  12. Dimensions of Monomial Varieties

    • Melvyn B. Nathanson
    Pages 147-160

  13. Matrix Scaling Limits in Finitely Many Iterations

    • Melvyn B. Nathanson
    Pages 161-167

  14. Not All Groups Are LEF Groups, or Can You Know If a Group Is Infinite?

    • Melvyn B. Nathanson
    Pages 169-174

  15. Binary Quadratic Forms in Difference Sets

    • Alex Rice
    Pages 175-196

  16. Egyptian Fractions, Nonstandard Extensions of \(\mathbb R\), and Some Diophantine Equations Without Many Solutions

    • David A. Ross
    Pages 197-207

  17. A Dual-Radix Approach to Steiner’s 1-Cycle Theorem

    • Andrey Rukhin
    Pages 209-226

  18. Potentially Stably Rational Del Pezzo Surfaces over Nonclosed Fields

    • Yuri Tschinkel, Kaiqi Yang
    Pages 227-233
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  1. Combinatorial and Additive Number Theory III

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About this book

Based on talks from the 2017 and 2018 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 17 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003, the workshop series 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, partitions, convex polytopes and discrete geometry, Ramsey theory, commutative algebra and discrete geometry, and applications of logic and nonstandard analysis to number theory. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. 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 and the Graduate Center, City University of New York, New York, USA

    Melvyn B. Nathanson

About the editor

Melvyn B. Nathanson is a Professor of Mathematics at the City University of New York.

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