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Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujans results and extends them to a general theory. The authors 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.
- Illustratör: Bibliographie 1 schwarz-weiße Abbildungen
- Format: Inbunden
- ISBN: 9783319561714
- Språk: Engelska
- Antal sidor: 687
- Utgivningsdatum: 2017-06-26
- Förlag: Springer International Publishing AG