| 书目名称 | On the Theory of Maass Wave Forms | | 编辑 | Tobias Mühlenbruch,Wissam Raji | | 视频video | | | 概述 | Provides a rigorous analytical treatment of the theory of Maass wave forms.Presents a self-contained exploration of the topic, from a brief review of introductory concepts through to cutting edge rese | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | This textbook provides a rigorous analytical treatment of the theory of Maass wave forms. Readers will find this unified presentation invaluable, as it treats Maass wave forms as the central area of interest. Subjects at the cutting edge of research are explored in depth, such as Maass wave forms of real weight and the cohomology attached to Maass wave forms and transfer operators. Because Maass wave forms are given a deep exploration, this book offers an indispensable resource for those entering the field..Early chapters present a brief introduction to the theory of classical modular forms, with an emphasis on objects and results necessary to fully understand later material. Chapters 4 and 5 contain the book’s main focus: .L.-functions and period functions associated with families of Maass wave forms. Other topics include Maass wave forms of real weight, Maass cusp forms, and weak harmonic Maass wave forms. Engaging exercises appear throughout the book, with solutions available online..On the Theory of Maass Wave Forms. is ideal for graduate students and researchers entering the area. Readers in mathematical physics and other related disciplines will find this a useful reference a | | 出版日期 | Textbook 2020 | | 关键词 | Modular forms; Maass wave forms; Eichler integrals; Eichler-Shimura isomorphism; L-series; Period problem | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-40475-8 | | isbn_softcover | 978-3-030-40477-2 | | isbn_ebook | 978-3-030-40475-8Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer Nature Switzerland AG 2020 |
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发表于 2025-3-21 18:15:07
