2010

Additive Number Theory

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

Editors:

ISBN: 978-0-387-37029-3 (Print) 978-0-387-68361-4 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-xi

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    Book Chapter

    Pages 1-8

    Addictive Number Theory

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    Book Chapter

    Pages 9-38

    Sum-Product Theorems and Applications

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    Book Chapter

    Pages 39-52

    Can You Hear the Shape of a Beatty Sequence?

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    Book Chapter

    Pages 53-76

    Variance of Signals and Their Finite Fourier Transforms

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    Book Chapter

    Pages 77-98

    Sparse Sets in Time and Frequency Related to Diophantine Problems and Integrable Systems

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    Book Chapter

    Pages 99-104

    Addition Theorems in Acyclic Semigroups

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    Book Chapter

    Pages 105-113

    Small Sumsets in Free Products of \(\mathbb{Z}/2\mathbb{Z}\)

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    Book Chapter

    Pages 115-140

    A Combinatorial Approach to Sums of Two Squares and Related Problems

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    Book Chapter

    Pages 141-144

    A Note on Elkin’s Improvement of Behrend’s Construction

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    Book Chapter

    Pages 145-151

    Distinct Matroid Base Weights and Additive Theory

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    Book Chapter

    Pages 153-169

    The Postage Stamp Problem and Essential Subsets in Integer Bases

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    Book Chapter

    Pages 171-178

    A Universal Stein-Tomas Restriction Estimate for Measures in Three Dimensions

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    Book Chapter

    Pages 179-193

    On the Exact Order of Asymptotic Bases and Bases for Finite Cyclic Groups

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    Book Chapter

    Pages 195-202

    The Erdős–Turán Problem in Infinite Groups

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    Book Chapter

    Pages 203-220

    A Tiling Problem and the Frobenius Number

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    Book Chapter

    Pages 221-227

    Sumsets and the Convex Hull

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    Book Chapter

    Pages 229-248

    Explicit Constructions of Infinite Families of MSTD Sets

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    Book Chapter

    Pages 249-258

    An Inverse Problem in Number Theory and Geometric Group Theory

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    Book Chapter

    Pages 259-285

    Cassels Bases

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    Book Chapter

    Pages 287-301

    Asymptotics of Weighted Lattice Point Counts Inside Dilating Polygons

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