Simultaneous extreme values of zeta and L-functions

Seminar series

Random Matrix Theory Seminars

Date

Tue, 22 Oct 2024
16:00

Location

Speaker

Winston Heap

Organisation

Max Planck Institute Bonn

I will discuss a recent joint work with Junxian Li which examines joint distributional properties of L-functions, in particular, their extreme values. Here, it is not clear if the analogy with random matrix theory persists, although I will discuss some speculations. Using a modification of the resonance method we demonstrate the simultaneous occurrence of extreme values of L-functions on the critical line. The method extends to other families and can be used to show both simultaneous large and small values.