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

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
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2010.
Edition:1.
Subjects:
Mathematics.
Algebra.
Logic, Symbolic and mathematical.
Number theory.
Number Theory.
Mathematical Logic and Foundations.
Online Access:View fulltext via EzAccess
Table of Contents:
  • .-Preface
  • Sum-product theorems and applications (Bourgain).-Can you hear the shape of a Beatty sequence? (Graham, O<U+0019>Bryant).-Variance of signals and their finite Fourier transforms (Chudnovsky, Chudnovsky, Morgan).-Sparse sets in time and frequency related to diophantine problems and integrable systems (Chudnovsky, Chudnovsky, Morgan).-Addition theorems in acyclic semigroups (Cilleruelo, Hamidoune, Serra).-Small sumsets in free products of Z/2Z (Eliahou, Lecouvey).-A combinatorial approach to sums of two squares and related problems (Elsholtz).-A note on Elkin<U+0019>s improvement of Behrend<U+0019>s construction (Green, Wolf).-The postage stamp problem and essential subsets in integer bases (Hegarty).-A universal Stein-Tomas restriction estimate for measures in three dimensions (Iosevich, Roudenko).-The Erdos-Turǹ problem in infinite groups (Konyagin, Lev).-A tiling problem and the Frobenius number (Labrousse, Ramr̕ez Alfonsn̕)
  • Sumsets and the convex hull (Matolcsi, Ruzsa)
  • Explicit constructions of infinite families of MSTD sets (Miller, Scheinerman).-Asymptotics of weighted lattice point counts inside dilating polygons (Nechayeva, Randol)
  • Support bases of solutions of a functional equation arising from multiplication of quantum integers and the twin primes conjecture (Nguyen)
  • Exponential sums and distinct points on arcs (Rd̜seth)
  • New Vacca-type rational series for Euler<U+0019>s constant g and its "alternating" analog ln 4/p (Sondow)
  • Mixed sums of primes and other terms (Sun)
  • Classes of permutation polynomials based on cyclotomy and an additive analogue (Zieve).

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