Ramanujan's Theta Functions

By Shaun Cooper

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 3319858432
• ISBN13: 9783319858432
• Release Date: August 2018
• Publisher: Springer
• Length: 687 Pages
• Weight: 2.15 lbs.
• Dimensions: 1.4" x 6.1" x 9.2"