L-functions and number theory
Time and place
1 PM on Thursday, May 5th, 2011; NAC 1/511E
Brooke Feigon (MSRI)
Abstract
The Riemann Zeta function is a complex analytic function that encodes deep arithmetic information such as data on the distribution of the prime numbers. In this talk I will discuss the number theoretic importance of the Riemann Zeta function and generalizations of it known as L-functions. I will describe some work of mine on values of L-functions. If time permits I will give a sketch of the proof of my results via the relative trace formula and period integrals.