Some facts about modular forms

By Chan Kuan

October 16, 2012

Abstract

In this talk, I will define what modular forms are and how they can be interpreted as functions on lattices. Then Hecke operators will be defined on lattices, which in turn, will lead to the corresponding (familiar) definitions on modular forms. If there is time, I will also define the associated L-functions, mention GRH and generalized Lindelof hypothesis (and some results in that direction).