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.
General
| Imprint: |
American Mathematical Society
|
| Country of origin: |
United States |
| Series: |
Graduate Studies in Mathematics |
| Release date: |
2021 |
| Authors: |
Jean-Marie De Koninck
• Florian Luca
|
| Pages: |
414 |
| ISBN-13: |
978-1-4704-7385-3 |
| Categories: |
Books
Promotions
|
| LSN: |
1-4704-7385-2 |
| Barcode: |
9781470473853 |
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