| 书目名称 | Modular Functions and Dirichlet Series in Number Theory |
| 编辑 | Tom M. Apostol |
| 视频video | |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology du ring the last 25 years. The second volume presupposes a background in number theory com parable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of the present volume is devoted to elliptic functions and modular functions with some of their number-theoretic applications. Among the major topics treated are Rademacher‘s convergent series for the partition function, Lehner‘s congruences for the Fourier coefficients of the modular functionj( r), and Hecke‘s theory of entire forms with multiplicative Fourier coefficients. The last chapter gives an account of Bohr‘s theory of equivalence of general Dirichlet series. Both volumes of this work emphasize classical aspects of a subject wh ich in recent years has undergone a great deal of modern development. It is hoped that these volumes will help the nonspecialist become acquainted with an important and fascinating part of mathematics and, at the same time, will provide some of the background that belongs to the repertory of every |
| 出版日期 | Textbook 19761st edition |
| 关键词 | Elliptische Funktion; Modulfunktion; Partition; Riemann zeta function; analytic number theory; complex an |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4684-9910-0 |
| isbn_ebook | 978-1-4684-9910-0Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Science+Business Media New York 1976 |
发表于 2025-3-21 19:42:42
