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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. |
More information: |
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Publisher Synopsis
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 theory and a strong background in real analysis. A novel feature of the book, and one that makes it very easy to read, is that all the calculations are written out in full - there are no steps 'left to the reader'. ... The book also includes a large number of exercises ... ." (Allen Stenger, The Mathematical Association of America, August, 2010) Read more...
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