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Additive Number Theory: Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson [Hardback]

  • Formāts: Hardback, 361 pages, height x width: 235x155 mm, weight: 798 g, XI, 361 p., 1 Hardback
  • Izdošanas datums: 01-Sep-2010
  • Izdevniecība: Springer-Verlag New York Inc.
  • ISBN-10: 0387370293
  • ISBN-13: 9780387370293
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  • Formāts: Hardback, 361 pages, height x width: 235x155 mm, weight: 798 g, XI, 361 p., 1 Hardback
  • Izdošanas datums: 01-Sep-2010
  • Izdevniecība: Springer-Verlag New York Inc.
  • ISBN-10: 0387370293
  • ISBN-13: 9780387370293
Citas grāmatas par šo tēmu:
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.

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 Nathanson's 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.
Addictive Number Theory
1(8)
Melvyn B. Nathanson
Sum-Product Theorems and Applications
9(30)
Jean Bourgain
Can You Hear the Shape of a Beatty Sequence?
39(14)
Ron Graham
Kevin O'Bryant
Variance of Signals and Their Finite Fourier Transforms
53(24)
D.V. Chudnovsky
G.V. Chudnovsky
T. Morgan
Sparse Sets in Time and Frequency Related to Diophantine Problems and Integrable Systems
77(22)
D.V. Chudnovsky
G.V. Chudnovsky
T. Morgan
Addition Theorems in Acyclic Semigroups
99(6)
Javier Cilleruelo
Yahya O. Hamidoune
Oriol Serra
Small Sumsets in Free Products of Z/2Z
105(10)
Shalom Eliahou
Cedric Lecouvey
A Combinatorial Approach to Sums of Two Squares and Related Problems
115(26)
Christian Elsholtz
A Note on Elkin's Improvement of Behrend's Construction
141(4)
Ben Green
Julia Wolf
Distinct Matroid Base Weights and Additive Theory
145(8)
Y.O. Hamidoune
I.P. da Silva
The Postage Stamp Problem and Essential Subsets in Integer Bases
153(18)
Peter Hegarty
A Universal Stein-Tomas Restriction Estimate for Measures in Three Dimensions
171(8)
Alex Iosevich
Svetlana Roudenko
On the Exact Order of Asymptotic Bases and Bases for Finite Cyclic Groups
179(16)
Xingde Jia
The Erdos-Turan Problem in Infinite Groups
195(8)
Sergei V. Konyagin
Vsevolod F. Lev
A Tiling Problem and the Frobenius Number
203(18)
D. Labrousse
J.L. Ramirez Alfonsin
Sumsets and the Convex Hull
221(8)
Mate Matolcsi
Imre Z. Ruzsa
Explicit Constructions of Infinite Families of MSTD Sets
229(20)
Steven J. Miller
Daniel Scheinerman
An Inverse Problem in Number Theory and Geometric Group Theory
249(10)
Melvyn B. Nathanson
Cassels Bases
259(28)
Melvyn B. Nathanson
Asymptotics of Weighted Lattice Point Counts Inside Dilating Polygons
287(16)
Marina Nechayeva
Burton Randol
Support Bases of Solutions of a Functional Equation Arising From Multiplication of Quantum Integers and the Twin Primes Conjecture
303(16)
Lan Nguyen
Exponential Sums and Distinct Points on Arcs
319(12)
Øystein J. Rødseth
New Vacca-Type Rational Series for Euler's Constant γ and Its "Alternating" Analog ln4/π
331(10)
Jonathan Sondow
Mixed Sums of Primes and Other Terms
341(14)
Zhi-Wei Sun
Classes of Permutation Polynomials Based on Cyclotomy and an Additive Analogue
355
Michael E. Zieve