Basic Analytic Number Theory
Language: English
Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 1993
- Hardcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
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This work provides an introduction to four central problems in analytic number theory. These are (1) the problems of estimating the number of integer points in planar domains, (2) the problem of the distribution of prime numbers in the sequence of all natural numbers and in arithmetic progressions, (3) Goldbach's problems on sums of primes, and (4) Waring's problem on sums of k-th powers. The following fundamental methods of analytic number theory are used to solve these problems: complex integration, I.M. Vinogradov's method of trigonometric sums, and the circle method of G.H. Hardy, J.E. Littlewood, and S. Ramanujan. There are numerous exercises at the end of each chapter. These exercises either refine the theorems proved in the text, or lead to new ideas in number theory. The author also includes a section of hints for the solution of the exercises.
Seller Inventory # LU-9783540533450
- Title
- Basic Analytic Number Theory
- Author
- A.A. Karatsuba
- Publisher
- Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
- Publication year
- 1993
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 3540533451
- ISBN 13
- 9783540533450
- Edition
- Illustrated.
- Item weight
- 515 grams
- Dimensions
- 15.6 x 1.42 x 23.39 cm
"Synopsis" may belong to another edition of this title.
Rarewaves.com USA
London, London, United Kingdom
AbeBooks seller since June 11, 2025
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