M. Ram Murty

Problems in the Theory of Modular Forms - Institute of Mathematical Sciences - Lecture Notes 1 M. Ram Murty

Introduces the reader to the fascinating world of modular forms through a problem-solving approach. 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.