Ramanujan's theta functions / Shaun Cooper.

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Ramanujan's theta functions / Shaun Cooper.

9783319561721 (electronic bk.)
3319561723 (electronic bk.)
9783319561714 (print)
3319561715

Cham, Switzerland : Springer, 2017.

English

1 online resource (xviii, 687 pages) : illustrations

10.1007/978-3-319-56172-1 doi

QA345

515/.984

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed June 13, 2017).

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