A Brief Introduction To Theta Functions
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A Brief Introduction to Theta Functions
Author: Richard Bellman
language: en
Publisher: Courier Corporation
Release Date: 2013-01-01
Originally published: New York: Rinehart and Winston, 1961.
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.