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Additive Number Theory

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Cover of 'Additive Number Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Addictive Number Theory
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    Chapter 2 Sum-Product Theorems and Applications
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    Chapter 3 Can You Hear the Shape of a Beatty Sequence?
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    Chapter 4 Variance of Signals and Their Finite Fourier Transforms
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    Chapter 5 Sparse Sets in Time and Frequency Related to Diophantine Problems and Integrable Systems
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    Chapter 6 Addition Theorems in Acyclic Semigroups
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    Chapter 7 Small Sumsets in Free Products of $$\mathbb{Z}/2\mathbb{Z}$$
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    Chapter 8 A Combinatorial Approach to Sums of Two Squares and Related Problems
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    Chapter 9 A Note on Elkin’s Improvement of Behrend’s Construction
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    Chapter 10 Distinct Matroid Base Weights and Additive Theory
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    Chapter 11 The Postage Stamp Problem and Essential Subsets in Integer Bases
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    Chapter 12 A Universal Stein-Tomas Restriction Estimate for Measures in Three Dimensions
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    Chapter 13 On the Exact Order of Asymptotic Bases and Bases for Finite Cyclic Groups
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    Chapter 14 The Erdős–Turán Problem in Infinite Groups
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    Chapter 15 A Tiling Problem and the Frobenius Number
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    Chapter 16 Sumsets and the Convex Hull
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    Chapter 17 Explicit Constructions of Infinite Families of MSTD Sets
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    Chapter 18 An Inverse Problem in Number Theory and Geometric Group Theory
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    Chapter 19 Cassels Bases
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    Chapter 20 Asymptotics of Weighted Lattice Point Counts Inside Dilating Polygons
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    Chapter 21 Support Bases of Solutions of a Functional Equation Arising From Multiplication of Quantum Integers and the Twin Primes Conjecture
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    Chapter 22 Exponential Sums and Distinct Points on Arcs
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    Chapter 23 New Vacca-Type Rational Series for Euler’s Constant γ and Its “Alternating” Analog $$\ln \frac{4}{\pi }$$
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    Chapter 24 Mixed Sums of Primes and Other Terms
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    Chapter 25 Classes of Permutation Polynomials Based on Cyclotomy and an Additive Analogue
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Title
Additive Number Theory
Published by
Springer-Verlag New York, January 2010
DOI 10.1007/978-0-387-68361-4
ISBNs
978-0-387-68361-4, 978-0-387-37029-3, 978-1-4899-8146-2
Editors

David Chudnovsky, Gregory Chudnovsky

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X Demographics

The data shown below were collected from the profiles of 2 X users who shared this research output. Click here to find out more about how the information was compiled.
 Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 6 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Denmark 1 17%
Unknown 5 83%

Demographic breakdown

Readers by professional status Count As %
Student > Master 2 33%
Student > Ph. D. Student 1 17%
Other 1 17%
Professor > Associate Professor 1 17%
Unknown 1 17%
Readers by discipline Count As %
Mathematics 2 33%
Environmental Science 1 17%
Computer Science 1 17%
Engineering 1 17%
Unknown 1 17%

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