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Additive Number Theory

Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson

  • Celebrates the contributions which Melvyn B. Nathanson has made to additive number theory

  • This book provides a current look at the state-of-the-art in the field of additive number theory

  • Volume contains contributions to various areas of number theory by top researchers in the field

  • Includes supplementary material: sn.pub/extras

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-xi
  2. Addictive Number Theory

    • Melvyn B. Nathanson
    Pages 1-8
  3. Sum-Product Theorems and Applications

    • Jean Bourgain
    Pages 9-38
  4. Can You Hear the Shape of a Beatty Sequence?

    • Ron Graham, Kevin O’Bryant
    Pages 39-52
  5. Variance of Signals and Their Finite Fourier Transforms

    • D. V. Chudnovsky, G. V. Chudnovsky, T. Morgan
    Pages 53-76
  6. Sparse Sets in Time and Frequency Related to Diophantine Problems and Integrable Systems

    • D. V. Chudnovsky, G. V. Chudnovsky, T. Morgan
    Pages 77-98
  7. Addition Theorems in Acyclic Semigroups

    • Javier Cilleruelo, Yahya O. Hamidoune, Oriol Serra
    Pages 99-104
  8. Small Sumsets in Free Products of \(\mathbb{Z}/2\mathbb{Z}\)

    • Shalom Eliahou, Cédric Lecouvey
    Pages 105-113
  9. Distinct Matroid Base Weights and Additive Theory

    • Y. O. Hamidoune, I. P. da Silva
    Pages 145-151
  10. The Erdős–Turán Problem in Infinite Groups

    • Sergei V. Konyagin, Vsevolod F. Lev
    Pages 195-202
  11. A Tiling Problem and the Frobenius Number

    • D. Labrousse, J. L. Ramírez Alfonsín
    Pages 203-220
  12. Sumsets and the Convex Hull

    • Máté Matolcsi, Imre Z. Ruzsa
    Pages 221-227
  13. Explicit Constructions of Infinite Families of MSTD Sets

    • Steven J. Miller, Daniel Scheinerman
    Pages 229-248
  14. Cassels Bases

    • Melvyn B. Nathanson
    Pages 259-285

About this book

This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. Nathanson's numerous results have been widely published in top notch journals and in a number of excellent graduate textbooks (GTM Springer) and reference works. For several decades, Mel Nathanson's seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike. The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research.

Editors and Affiliations

  • New York University, Department of Mathematics, Polytechnic Institute of, Brooklyn, USA

    David Chudnovsky, Gregory Chudnovsky

Bibliographic Information

  • Book Title: Additive Number Theory

  • Book Subtitle: Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson

  • Editors: David Chudnovsky, Gregory Chudnovsky

  • DOI: https://doi.org/10.1007/978-0-387-68361-4

  • Publisher: Springer New York, NY

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

  • Copyright Information: Springer Science+Business Media, LLC 2010

  • Hardcover ISBN: 978-0-387-37029-3Published: 01 September 2010

  • Softcover ISBN: 978-1-4899-8146-2Published: 03 September 2014

  • eBook ISBN: 978-0-387-68361-4Published: 26 August 2010

  • Edition Number: 1

  • Number of Pages: XI, 361

  • Topics: Number Theory, Algebra, Mathematical Logic and Foundations

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access