Problems in the Theory of Modular Forms

by M. Ram Murty

This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, it can be used by the undergraduate and graduate student for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and higher level, the Ramanujan ? -function, the Petersson inner product, Hecke operators, Dirichlet series attached to modular forms and further special topics. It can be viewed as a gentle introduction for a deeper study of the subject. Thus, it is ideal for non-experts seeking an entry into the field.

Genres: Mathematics

310 pages, Paperback

Published April 30, 2015

Reviews

[Wissam Raji · Rating 5 out of 5]

Very good introductory book to the theory of modular forms with lots of basic and advanced problems to the theory. Highly recommended for students who are trying to get the feel of the basic concepts. The approach is very smooth and it deals with advanced topics in a very systematic approach. Highly recommended for problem-solving...