Analytic number theory : exploring the anatomy of integers
By: Koninck, Jean-Marie De.
Contributor(s): Luca, Florian.
Material type:
BookSeries: Graduate studies in mathematics; v.134. Publisher: Providence American Mathematical Society 2012Description: xviii, 414p.ISBN: 9781470425838.Subject(s): Number theory | Euclidean algorithm | IntegralsDDC classification: 512.74 | K836a Summary: The authors assemble 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 behavior 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. The book concludes with a whole chapter on the index of composition of an integer. One of this book's best features is the collection of problems at the end of each chapter that have been chosen carefully to reinforce the material. The authors include solutions to the even-numbered problems, making this volume very appropriate for readers who want to test their understanding of the theory presented in the book
| Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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Books
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PK Kelkar Library, IIT Kanpur | General Stacks | 512.74 K836a (Browse shelf) | Checked out to SURJEET SINGH (S22144800) | 24/07/2024 | GB1571 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: General Stacks Close shelf browser
| 512.74 K727a Advanced algebra | 512.74 K727a Advanced algebra | 512.74 K836a Analytic number theory | 512.74 K836a Analytic number theory | 512.74 M535u Understanding non-linear strain-displacement relations in the elliptical co-ordinate system | 512.74 M535u Understanding the anatomy of exponential diophantine 3-term equations | 512.74 M721c Modular forms and Fermat's last theorem |
The authors assemble 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 behavior 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. The book concludes with a whole chapter on the index of composition of an integer. One of this book's best features is the collection of problems at the end of each chapter that have been chosen carefully to reinforce the material. The authors include solutions to the even-numbered problems, making this volume very appropriate for readers who want to test their understanding of the theory presented in the book
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