Modular Forms and Twisted L-Functions

Date: 
Tuesday, April 1, 2014 - 3:00pm
Location: 
MSB 111
Speaker: 
Zhenyu Guo (University of Missouri)

In this talk, I will prove a theorem due to Weil (1967), which asserts that the existence of sufficiently many functional equations of twisted L-functions implies the existence of the modular form. To understand this, I will sketch some definitions and theorems in modular forms, Hecke operators and L-functions.