Moments of the Riemann Zeta Function

Speaker: 
Peter Humphries - Math Dept
Date: 
Sep 26 2013 - 12:30pm
Event type: 
Graduate Student Seminar
Room: 
Fine 314
Abstract: 

An important area of study in analytic number theory is the average behaviour of the Riemann zeta function on the critical line

Re(s) = 1/2. I'll talk a bit about what we know so far, and how random matrix theory helps us predict even more. If time permits, I'll discuss how one can generalise this to the average behaviour of families of L-functions at the critical point s = 1/2.