书目名称 | Problems in the Theory of Modular Forms | 编辑 | M. Ram Murty,Michael Dewar,Hester Graves | 视频video | | 概述 | Introduces the fascinating world of modular forms through a problem-solving approach.Discusses topics on q-series, the modular group, the upper half-plane, the Ramanujan t-function, the Petersson inne | 丛书名称 | HBA Lecture Notes in Mathematics | 图书封面 |  | 描述 | .This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and higher level, the Ramanujan τ-function, the Petersson inner product, Hecke operators, Dirichlet series attached to modular forms and further special topics. It can be viewed as a gentle introduction for a deeper study of the subject. Thus, it is ideal for non-experts seeking an entry into the field. .. . | 出版日期 | Book 2016 | 关键词 | q-series; Modular Group; Hecke subgroups; Fundamental domains; Poincar´e metric; Fourier expansions; valen | 版次 | 1 | doi | https://doi.org/10.1007/978-981-10-2651-5 | isbn_ebook | 978-981-10-2651-5Series ISSN 2509-8063 Series E-ISSN 2509-8071 | issn_series | 2509-8063 | copyright | Springer Science+Business Media Singapore 2016 and Hindustan Book Agency 2016 2016 |
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