Ramanujan's Theta Functions
Produktnummer:
1897ff6dc8e29044cc93f05a71e98de26c
Autor: | Cooper, Shaun |
---|---|
Themengebiete: | Euler's product Jacobi's inversion theorem Rogers-Ramanujan continued fraction Weierstrass functions elliptic functions hypergeometric modular transformations partitions |
Veröffentlichungsdatum: | 26.06.2017 |
EAN: | 9783319561714 |
Sprache: | Englisch |
Seitenzahl: | 687 |
Produktart: | Gebunden |
Verlag: | Springer International Publishing |
Produktinformationen "Ramanujan's Theta Functions"
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.

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