Title: Analytic Number Theory: Exploring the Anatomy of Integers (Graduate Studies in Mathematics)
Publisher: American Mathematical Society
Publication Date: 2023
Language: English
ISBN 10: 1470473852
ISBN 13: 9781470473853
Binding: Soft cover
Condition: New

About this title

Synopsis

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.

About the Author

Jean-Marie De Koninck, Universit� Laval, Quebec, QC, Canada, and Florian Luca, Universidad Nacional Autonoma de M�xico, Morelia, Michoacan, M�xico

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