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Combinatorial and Additive Number Theory

CANT 2011 and 2012

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Melvyn B. Nathanson

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

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  • Presents new advances in combinatorial and additive number theory
  • Contains articles from top researchers in the field
  • Helps stimulate further research in the area

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 101)

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Table of contents (18 papers)

  1. Front Matter

    Pages i-viii
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  2. Generalized Ramanujan Primes

    • Nadine Amersi, Olivia Beckwith, Steven J. Miller, Ryan Ronan, Jonathan Sondow
    Pages 1-13

  3. Arithmetic Congruence Monoids: A Survey

    • Paul Baginski, Scott Chapman
    Pages 15-38

  4. A Short Proof of Kneser’s Addition Theorem for Abelian Groups

    • Matt DeVos
    Pages 39-41

  5. Lower and Upper Classes of Natural Numbers

    • L. Haddad, C. Helou
    Pages 43-53

  6. The Probability That Random Positive Integers Are 3-Wise Relatively Prime

    • Jerry Hu
    Pages 55-61

  7. Sharpness of Falconer’s Estimate and the Single Distance Problem in \(\mathbb{Z}_{q}^{d}\)

    • Alex Iosevich, Steven Senger
    Pages 63-77

  8. Finding and Counting MSTD Sets

    • Geoffrey Iyer, Oleg Lazarev, Steven J. Miller, Liyang Zhang
    Pages 79-98

  9. Density Versions of Plünnecke Inequality: Epsilon-Delta Approach

    • Renling Jin
    Pages 99-113

  10. Problems and Results on Intersective Sets

    • Thái Hoàng Lê
    Pages 115-128

  11. Polynomial Differences in the Primes

    • Neil Lyall, Alex Rice
    Pages 129-146

  12. Most Subsets Are Balanced in Finite Groups

    • Steven J. Miller, Kevin Vissuet
    Pages 147-157

  13. Gaussian Behavior in Generalized Zeckendorf Decompositions

    • Steven J. Miller, Yinghui Wang
    Pages 159-173

  14. Additive Number Theory and Linear Semigroups with Intermediate Growth

    • Melvyn B. Nathanson
    Pages 175-194

  15. Adjoining Identities and Zeros to Semigroups

    • Melvyn B. Nathanson
    Pages 195-201

  16. On the Grothendieck Group Associated to Solutions of a Functional Equation Arising from Multiplication of Quantum Integers

    • Lan Nguyen
    Pages 203-227

  17. The Plünnecke–Ruzsa Inequality: An Overview

    • G. Petridis
    Pages 229-241

  18. Lerch Quotients, Lerch Primes, Fermat-Wilson Quotients, and the Wieferich-Non-Wilson Primes 2, 3, 14771

    • Jonathan Sondow
    Pages 243-255

  19. On Sums Related to Central Binomial and Trinomial Coefficients

    • Zhi-Wei Sun
    Pages 257-312
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Keywords

About this book

This proceedings volume is based on papers presented at the Workshops on Combinatorial and Additive Number Theory (CANT), which were held at the Graduate Center of the City University of New York in 2011 and 2012. The goal of the workshops is to survey recent progress in combinatorial number theory and related parts of mathematics. The workshop attracts researchers and students who discuss the state-of-the-art, open problems and future challenges 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

  • Book Subtitle: CANT 2011 and 2012

  • Editors: Melvyn B. Nathanson

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-1-4939-1601-6

  • Publisher: Springer New York, NY

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

  • Copyright Information: Springer Science+Business Media New York 2014

  • Hardcover ISBN: 978-1-4939-1600-9Published: 20 October 2014

  • Softcover ISBN: 978-1-4939-5239-7Published: 23 August 2016

  • eBook ISBN: 978-1-4939-1601-6Published: 18 October 2014

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: VIII, 312

  • Number of Illustrations: 2 b/w illustrations, 6 illustrations in colour

  • Topics: Number Theory

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