Additive number theory : the classical bases (Book, 1996) []
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Additive number theory : the classical bases

Additive number theory : the classical bases

Author: Melvyn Bernard Nathanson
Publisher: New York : Springer, ©1996.
Series: Graduate texts in mathematics, 164.
Edition/Format:   Print book : EnglishView all editions and formats

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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Genre/Form: Problemas, ejercicios, etc
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Melvyn Bernard Nathanson
ISBN: 038794656X 9780387946566
OCLC Number: 318414600
Target Audience: Pregrado
Description: xiv, 342 p. : il. ; 25 cm.
Contents: I Waring's problem.- 1 Sums of polygons.- 2 Waring's problem for cubes.- 3 The Hilbert-Waring theorem.- 4 Weyl's inequality.- 5 The Hardy-Littlewood asymptotic formula.- II The Goldbach conjecture.- 6 Elementary estimates for primes.- 7 The Shnirel'man-Goldbach theorem.- 8 Sums of three primes.- 9 The linear sieve.- 10 Chen's theorem.- III Appendix.- Arithmetic functions.- A.1 The ring of arithmetic functions.- A.2 Sums and integrals.- A.3 Multiplicative functions.- A.4 The divisor function.- A.6 The Moebius function.- A.7 Ramanujan sums.- A.8 Infinite products.- A.9 Notes.- A.10 Exercises.
Series Title: Graduate texts in mathematics, 164.
Responsibility: Melvyn B. Nathanson.
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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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