| 书目名称 | Modular Forms | | 副标题 | Fundamental Tools of | | 编辑 | Claudia Alfes-Neumann | | 视频video | | | 概述 | Compact, low-threshold introduction to modular forms.Presents the importance of modular forms as fundamental tools in mathematics.With outlook on real-analytic generalizations of modular forms that pl | | 丛书名称 | essentials | | 图书封面 |  | | 描述 | .In this .essential., Claudia Alfes-Neumann discusses applications of the theory of modular forms and their importance as fundamental tools in mathematics. These functions - initially defined purely analytically - appear in many areas of mathematics: very prominently in number theory, but also in geometry, combinatorics, representation theory, and physics. After explaining necessary basics from complex analysis, the author defines modular forms and shows some applications in number theory. Furthermore, she takes up two important aspects of the theory surrounding modular forms: Hecke operators and .L.-functions of modular forms. The .essentials. conclude with an outlook on real-analytic generalizations of modular forms, which play an important role in current research.. This .Springer essential. is a translation of the original German 1.st. edition .essentials, Modulformen .by Claudia Alfes-Neumann, published by SpringerFachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will rea | | 出版日期 | Book 20211st edition | | 关键词 | Complex analysis; Hecke Theory; L-functions of modular forms; Partition function; Modular forms of half- | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-658-34529-7 | | isbn_ebook | 978-3-658-34529-7Series ISSN 2197-6708 Series E-ISSN 2197-6716 | | issn_series | 2197-6708 | | copyright | Springer Fachmedien Wiesbaden GmbH, part of Springer Nature 2021 |
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发表于 2025-3-21 18:55:14
