| 书目名称 | Siegel Modular Forms | | 副标题 | A Classical and Repr | | 编辑 | Ameya Pitale | | 视频video | | | 概述 | Explores the connections between the classical and representation theoretic approaches in the study of Siegel modular forms.Illustrates how basic concepts can be applied to solve contemporary problems | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating the interconnections shared by the two, this book fills an important gap in the existing literature on modular forms. It begins by establishing the basics of the classical theory of Siegel modular forms, and then details more advanced topics. After this, much of the basic local representation theory is presented. Exercises are featured heavily throughout the volume, the solutions of which are helpfully provided in an appendix. Other topics considered include Hecke theory, Fourier coefficients, cuspidal automorphic representations, Bessel models, and integral representation..Graduate students and young researchers will find this volume particularly useful. It will also appeal to researchers in the areaas a reference volume. Some knowledge of GL(2) theory is recommended, but there are a number of appendices included if the reader is not already familiar.. | | 出版日期 | Book 2019 | | 关键词 | Siegel modular forms; Symplectic group; Automorphic representations; L-functions; Fourier coefficients; D | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-15675-6 | | isbn_softcover | 978-3-030-15674-9 | | isbn_ebook | 978-3-030-15675-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 18:00:35
