书目名称 | Ramanujan‘s Theta Functions | 编辑 | Shaun Cooper | 视频video | | 概述 | Contains a detailed and systematic analysis of theta functions, by level and by weight.Serves as a useful, encyclopedic reference, designed to be a full and comprehensive study of select levels of The | 图书封面 |  | 描述 | .Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. The author’s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research..Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.. | 出版日期 | Book 2017 | 关键词 | elliptic functions; hypergeometric modular transformations; partitions; Weierstrass functions; Jacobi‘s | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-56172-1 | isbn_softcover | 978-3-319-85843-2 | isbn_ebook | 978-3-319-56172-1 | copyright | Springer International Publishing AG 2017 |
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