Additive Number Theory

Edited by David Chudnovsky () and Gregory Chudnovsky ()

in Springer Books from Springer

Date: 2010
Edition: 1
ISBN: 978-0-387-68361-4
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Chapters in this book:

Addictive Number Theory

Melvyn B. Nathanson

Sum-Product Theorems and Applications

Jean Bourgain

Can You Hear the Shape of a Beatty Sequence?

Ron Graham and Kevin O’Bryant

Variance of Signals and Their Finite Fourier Transforms

D. V. Chudnovsky, G. V. Chudnovsky and T. Morgan

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

D. V. Chudnovsky, G. V. Chudnovsky and T. Morgan

Addition Theorems in Acyclic Semigroups

Javier Cilleruelo, Yahya O. Hamidoune and Oriol Serra

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

Shalom Eliahou and Cédric Lecouvey

A Combinatorial Approach to Sums of Two Squares and Related Problems

Christian Elsholtz

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

Ben Green and Julia Wolf

Distinct Matroid Base Weights and Additive Theory

Y. O. Hamidoune and I. P. da Silva

The Postage Stamp Problem and Essential Subsets in Integer Bases

Peter Hegarty

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

Alex Iosevich and Svetlana Roudenko

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

Xingde Jia

The Erdős–Turán Problem in Infinite Groups

Sergei V. Konyagin and Vsevolod F. Lev

A Tiling Problem and the Frobenius Number

D. Labrousse and J. L. Ramírez Alfonsín

Sumsets and the Convex Hull

Máté Matolcsi and Imre Z. Ruzsa

Explicit Constructions of Infinite Families of MSTD Sets

Steven J. Miller and Daniel Scheinerman

An Inverse Problem in Number Theory and Geometric Group Theory

Melvyn B. Nathanson

Cassels Bases

Melvyn B. Nathanson

Asymptotics of Weighted Lattice Point Counts Inside Dilating Polygons

Marina Nechayeva and Burton Randol

Support Bases of Solutions of a Functional Equation Arising From Multiplication of Quantum Integers and the Twin Primes Conjecture

Lan Nguyen

Exponential Sums and Distinct Points on Arcs

Øystein J. Rødseth

New Vacca-Type Rational Series for Euler’s Constant γ and Its “Alternating” Analog $$\ln \frac{4}{\pi }$$

Jonathan Sondow

Mixed Sums of Primes and Other Terms

Zhi-Wei Sun

Classes of Permutation Polynomials Based on Cyclotomy and an Additive Analogue

Michael E. Zieve

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DOI: 10.1007/978-0-387-68361-4

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