David Chudnovsky / Gregory Chudnovsky (eds.)

Additive Number Theory

Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson
Herausgegeben:Chudnovsky, David; Chudnovsky, Gregory

• Gebundenes Buch

Produktbeschreibung

Table of contents:

- J. Bourgain

- M-C. Chang, University of California-Riverside

- D. Chudnovsky, Polytechnic University

- G. Chudnovsky, Polytechnic University

- G. Freiman, Tel-Aviv, Israel

- B. Green, Bristol UK

- N. Hindman, Howard University

- A. Iosevich, University of Missouri-Columbia

- J. Lagarias, University of Michigan

- R. Jin, College of Charleston.-R. Grigorchuk, Texas Aamp;M University

- T. Tao, University of California- Los Angeles

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Providing an up-to-date snapshot of the field, this volume presents a broad introduction to the current state of additive number theory. The applications discussed include communication theory and digital signal processing, image processing, optimization and discrete geometry.

Produktdetails

• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 11791362, 978-0-387-37029-3
• 2010
• Seitenzahl: 376
• Erscheinungstermin: 1. September 2010
• Englisch
• Abmessung: 241mm x 160mm x 28mm
• Gewicht: 793g
• ISBN-13: 9780387370293
• ISBN-10: 0387370293
• Artikelnr.: 22825642

Inhaltsangabe

.-Preface.- Sum-product theorems and applications (Bourgain).-Can you hear the shape of a Beatty sequence? (Graham, O'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's improvement of Behrend'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-Turán problem in infinite groups (Konyagin, Lev).-A tiling problem and the Frobenius number (Labrousse, Ramírez Alfonsín).- 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 (Rødseth).- New Vacca-type rational series for Euler'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).