Ramanujan's Theta Functions

Nonfiction, Science & Nature, Mathematics, Number Theory, Geometry
Cover of the book Ramanujan's Theta Functions by Shaun Cooper, Springer International Publishing
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Author: Shaun Cooper ISBN: 9783319561721
Publisher: Springer International Publishing Publication: June 12, 2017
Imprint: Springer Language: English
Author: Shaun Cooper
ISBN: 9783319561721
Publisher: Springer International Publishing
Publication: June 12, 2017
Imprint: Springer
Language: English

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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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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