| 书目名称 | Steps into Analytic Number Theory |
| 副标题 | A Problem-Based Intr |
| 编辑 | Paul Pollack,Akash Singha Roy |
| 视频video | |
| 概述 | Challenges students ranging from high school to graduate levels to develop problem-solving skills in analytic number theory.Balances elementary yet ingenious problems with applications not usually see |
| 丛书名称 | Problem Books in Mathematics |
| 图书封面 |  |
| 描述 | .This problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to those pursuing graduate studies. It emerged from a 5-week course taught by the first author as part of the 2019 Ross/Asia Mathematics Program held from July 7 to August 9 in Zhenjiang, China.. . While it is recommended that the reader has a solid background in mathematical problem solving (as from training for mathematical contests), no possession of advanced subject-matter knowledge is assumed. Most of the solutions require nothing more than elementary number theory and a good grasp of calculus. Problems touch at key topics like the value-distribution of arithmetic functions, the distribution of prime numbers, the distribution of squares and nonsquares modulo a prime number, Dirichlet‘s theorem on primes in arithmetic progressions, and more.. . This book is suitable for any student with a special interest indeveloping problem-solving skills in analytic number theory. It will be an invaluable aid to lecturers and students as a supplementary text for introductory Analytic Number Theory courses at both the undergraduate and gr |
| 出版日期 | Textbook 2021 |
| 关键词 | number theory; analytic number theory; Brun‘s theorem; Dirichlet‘s theorem; problem-solving; Ross Mathema |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-65077-3 |
| isbn_softcover | 978-3-030-65079-7 |
| isbn_ebook | 978-3-030-65077-3Series ISSN 0941-3502 Series E-ISSN 2197-8506 |
| issn_series | 0941-3502 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 16:32:44
