Additive Number Theory: Festschrift In Honor of the Sixtieth Birthday of Melvyn

Description: Additive Number Theory by David Chudnovsky, Gregory Chudnovsky 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. For several decades, Mel Nathansons seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike. The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research. Back Cover This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. Nathansons numerous results have been widely published in top notch journals and in a number of excellent graduate textbooks (GTM Springer) and reference works.For several decades, Mel Nathansons seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike.The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research. 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 Elkins Improvement of Behrends 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 Eulers 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. Long Description This Festschrift is dedicatedto MelvynB. Nathansonby his colleagues, friends,and students. This volume celebrates his many contributions to various areas of number theory. Mels outstanding career as a mathematician and a public ?gure resulted in many achievements both in science and in the public arena. It is appropriate to quote here the tribute of the great I.M. Gelfand to Mel: I remember Melvyn as a youngman attendingmy seminar in Moscow. He part- ipated in my Rutgers seminar as well and taught us a lot of number theory. I enjoy his love of mathematics and the way he thinks about it. I wish him all the best and expect new wonderful results from him. We thank Jean Bourgain, M.-C. Chang, Javier Cilleruelo, Shalom Eliahou, Christian Elsholtz, Ron Graham, Ben Green, Yahya O. Hamidoune, Peter Hegarty, Alex Iosevich, Sergei V. Konyagin, D. Labrousse, Cedric Feature - Celebrates the contributions which Melvyn B. Nathanson has made to additive number theory- This book provides a current look at the state-of-the-art in the field of additive number theory- Volume contains contributions to various areas of number theory by top researchers in the field Details ISBN1489981462 ISBN-10 1489981462 ISBN-13 9781489981462 Year 2014 Format Paperback Publication Date 2014-09-03 Short Title ADDITIVE NUMBER THEORY 2010/E Language English Media Book DEWEY 510 Imprint Springer-Verlag New York Inc. Place of Publication New York Country of Publication United States Edited by Gregory Chudnovsky Pages 361 Edition 2010th Subtitle Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson UK Release Date 2014-09-03 AU Release Date 2014-09-03 NZ Release Date 2014-09-03 US Release Date 2014-09-03 Author Gregory Chudnovsky Publisher Springer-Verlag New York Inc. Edition Description 2010 ed. Alternative 9780387370293 Audience Professional & Vocational Illustrations XI, 361 p. 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