Ramanujan's Theta Functions

Cooper, Shaun

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.

Details

Published by: Springer

Publication Date: 2017-06-26

Format: Hardcover

ISBN-13: 9783319561714

DOI: 10.1007/978-3-319-56172-1

Dimensions: 235cm x155cm

Pages: 687