Additive Number Theory Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson /

Additive Number Theory Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson /

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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 Sp...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Chudnovsky, David (Editor), Chudnovsky, Gregory (Editor)
Format: Electronic eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2010.
Edition:1.
Subjects:
Mathematics.
Algebra.
Mathematical logic.
Number theory.
Number Theory.
Mathematical Logic and Foundations.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Addictive Number Theory
  • Sum-Product Theorems and Applications
  • Can You Hear the Shape of a Beatty Sequence?
  • Variance of Signals and Their Finite Fourier Transforms
  • Sparse Sets in Time and Frequency Related to Diophantine Problems and Integrable Systems
  • Addition Theorems in Acyclic Semigroups
  • Small Sumsets in Free Products of $$\mathbb{Z}/2\mathbb{Z}$$
  • A Combinatorial Approach to Sums of Two Squares and Related Problems
  • A Note on Elkin’s Improvement of Behrend’s Construction
  • Distinct Matroid Base Weights and Additive Theory
  • The Postage Stamp Problem and Essential Subsets in Integer Bases
  • A Universal Stein-Tomas Restriction Estimate for Measures in Three Dimensions
  • On the Exact Order of Asymptotic Bases and Bases for Finite Cyclic Groups
  • The Erd?s–Turán Problem in Infinite Groups
  • A Tiling Problem and the Frobenius Number
  • Sumsets and the Convex Hull
  • Explicit Constructions of Infinite Families of MSTD Sets
  • An Inverse Problem in Number Theory and Geometric Group Theory
  • Cassels Bases
  • Asymptotics of Weighted Lattice Point Counts Inside Dilating Polygons
  • Support Bases of Solutions of a Functional Equation Arising From Multiplication of Quantum Integers and the Twin Primes Conjecture
  • Exponential Sums and Distinct Points on Arcs
  • New Vacca-Type Rational Series for Euler’s Constant ? and Its “Alternating” Analog $$\ln \frac{4}{\pi }$$
  • Mixed Sums of Primes and Other Terms
  • Classes of Permutation Polynomials Based on Cyclotomy and an Additive Analogue.

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