Problems in the Theory of Modular Forms (3rd Edition)
Problems in the Theory of Modular Forms (3rd Edition) by M. Ram Murty
English | 2015 | ISBN: 938025072X | 310 Pages | PDF | 4.6 MB
English | 2015 | ISBN: 938025072X | 310 Pages | PDF | 4.6 MB
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.