Moments of the Riemann Zeta Function
Moments of the Riemann Zeta Function

Peter Humphries, Princeton University
Fine Hall 314
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 Lfunctions at the critical point s = 1/2.