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Additive Number Theory : the Classical Bases

Author: Melvyn B Nathanson
Publisher: New York, NY : Springer New York, 1996.
Series: Graduate texts in mathematics, 164.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The purpose of this book is to describe the classical problems in additive number theory, and to introduce the circle method and the sieve method, which are the basic analytical and combinatorial tools to attack these problems. This book is intended for students who want to learn additive number theory, not for experts who already know it. The prerequisites for this book are undergraduate courses in number theory  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Melvyn B Nathanson
ISBN: 9781475738452 1475738455
OCLC Number: 851784007
Description: 1 online resource (xiv, 344 pages).
Contents: Sums of Polygons --
Waring's Problem for Cubes --
The Hilbert-Waring Theorem --
Weyl's Inequality --
The Hardy-Littlewood Asymptotic Formula --
Elementary Estimates for Primes --
The Shnirel'man-Goldbach Theorem --
Sums of Three Primes --
The Linear Sieve --
Chen's Theorem A Arithmetic Functions.
Series Title: Graduate texts in mathematics, 164.
Responsibility: by Melvyn B. Nathanson.

Abstract:

In general, the set A of nonnegative integers is called an additive basis of order h if every nonnegative integer can be written as the sum of h not necessarily distinct elements of A. The set A is  Read more...

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From the reviews:"This book provides a very thorough exposition of work to date on two classical problems in additive number theory ... . is aimed at students who have some background in number Read more...

 
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