Analytic Number Theory Exploring the Anatomy of Integers |
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| Author:
| Koninck, Jean-Marie De
Luca, Florian |
| Series title: | Graduate Studies in Mathematics Ser. |
| ISBN: | 978-0-8218-7577-3 |
| Publication Date: | May 2012 |
| Publisher: | American Mathematical Society
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| Book Format: | Hardback |
| List Price: | USD $80.00USD $80.00 |
Book Description:
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Provides a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers. Some of the most important topics presented are the global and local behaviour of arithmetic functions, an extensive study of smooth numbers, the Hardy-Ramanujan and Landau theorems, characters and the Dirichlet theorem, the $abc$...
More DescriptionProvides a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers. Some of the most important topics presented are the global and local behaviour of arithmetic functions, an extensive study of smooth numbers, the Hardy-Ramanujan and Landau theorems, characters and the Dirichlet theorem, the $abc$ conjecture along with some of its applications, and sieve methods.