| 书目名称 | Modular Forms | | 编辑 | Toshitsune Miyake | | 视频video | | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .For the most part, this book is the translation from Japanese of the earlier book written jointly by Koji Doi and the author who revised it substantially for the English edition. It sets out to provide the reader with the basic knowledge of elliptic modular forms necessary to understand the recent developments in number theory. The first part gives the general theory of modular groups, modular forms and Hecke operators, with emphasis on the Hecke-Weil theory of the relation between modular forms and Dirichlet series. The second part is on the unit groups of quaternion algebras, which are seldom dealt with in books. The so-called Eichler-Selberg trace formula of Hecke operators follows next and the explicit computable formula is given. In the last chapter, written for the English edition, Eisenstein series with parameter are discussed following the recent work of Shimura: Eisenstein series are likely to play a very important role in the future progress of number theory, and thischapter provides a good introduction to the topic.. | | 出版日期 | Book 1989 | | 关键词 | Eichler-Selberg trace formula; Eisenstein series; Hecke operator; Hecke-Weil theory; Primitive form; numb | | 版次 | 1 | | doi | https://doi.org/10.1007/3-540-29593-3 | | isbn_softcover | 978-3-662-22188-4 | | isbn_ebook | 978-3-540-29593-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag Berlin Heidelberg 1989 |
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发表于 2025-3-21 16:05:51
