David Chudnovsky & Gregory Chudnovsky 
Additive Number Theory [PDF ebook] 
Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson

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Tabela de Conteúdo

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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Língua Inglês ● Formato PDF ● Páginas 361 ● ISBN 9780387683614 ● Tamanho do arquivo 3.4 MB ● Editor David Chudnovsky & Gregory Chudnovsky ● Editora Springer New York ● Cidade NY ● País US ● Publicado 2010 ● Carregável 24 meses ● Moeda EUR ● ID 2145370 ● Proteção contra cópia DRM social

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