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  • Conference proceedings
  • © 2017

Combinatorial and Additive Number Theory II

CANT, New York, NY, USA, 2015 and 2016

  • Collates recent advances in combinatorial and additive number theory from distinguished mathematicians in the field

  • Points to future areas of research

  • All papers feature original, peer-reviewed content

Conference proceedings info: CANT 2015. CANT 2016.

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-68032-3
  • 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 199.99
Price excludes VAT (USA)
Hardcover Book USD 279.99
Price excludes VAT (USA)

This is a preview of subscription content, access via your institution.

Table of contents (20 papers)

  1. Front Matter

    Pages i-viii
  2. Benford Behavior of Generalized Zeckendorf Decompositions

    • Andrew Best, Patrick Dynes, Xixi Edelsbrunner, Brian McDonald, Steven J. Miller, Kimsy Tor et al.
    Pages 25-37
  3. Ramsey Theory Problems over the Integers: Avoiding Generalized Progressions

    • Andrew Best, Karen Huan, Nathan McNew, Steven J. Miller, Jasmine Powell, Kimsy Tor et al.
    Pages 39-52
  4. Numerical Sets, Core Partitions, and Integer Points in Polytopes

    • Hannah Constantin, Ben Houston-Edwards, Nathan Kaplan
    Pages 99-127
  5. Pairs of Dot Products in Finite Fields and Rings

    • David Covert, Steven Senger
    Pages 129-138
  6. White’s Theorem

    • Mizan R. Khan, Karen M. Rogers
    Pages 171-180
  7. A Misère-Play $$\star $$ -Operator

    • Matthieu Dufour, Silvia Heubach, Urban Larsson
    Pages 181-198
  8. Initial Sums of the Legendre Symbol: Is $$\min + \max \ge 0$$ ?

    • Kieren MacMillan, Jonathan Sondow
    Pages 205-213
  9. A Second Wave of Expanders in Finite Fields

    • Brendan Murphy, Giorgis Petridis
    Pages 215-238
  10. Sumsets Contained in Sets of Upper Banach Density 1

    • Melvyn B. Nathanson
    Pages 239-248
  11. The Erdős Paradox

    • Melvyn B. Nathanson
    Pages 249-254
  12. Extending Babbage’s (Non-)Primality Tests

    • Jonathan Sondow
    Pages 269-277

Other Volumes

  1. Combinatorial and Additive Number Theory II

    CANT, New York, NY, USA, 2015 and 2016

About this book

Based on talks from the 2015 and 2016 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 19 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. Sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, primality testing, and cryptography are among the topics featured in this volume. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. Researchers and graduate students interested in the current progress in number theory will find this selection of articles relevant and compelling. 

Keywords

  • Additive number theory
  • Combinatorial number theory
  • Goldbach conjecture
  • Mathematics and computer science
  • Newman conjecture
  • Selberg class of L-functions
  • combinatorics
  • cryptography

Editors and Affiliations

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

    Melvyn B. Nathanson

About the editor

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

Bibliographic Information

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-68032-3
  • 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 199.99
Price excludes VAT (USA)
Hardcover Book USD 279.99
Price excludes VAT (USA)