The distribution of values of zeta and L-functions

50 Years of Number Theory and Random Matrix Theory Conference

Topic: The distribution of values of zeta and L-functions
Speaker: Kannan Soundararajan
Affiliation: Stanford University
Date: June 21, 2022

I will survey recent progress on understanding the value distribution of zeta and L-functions. In particular I will discuss the problem of moments of the zeta function on the critical line, and central values of L-functions, where the last twenty five years have seen a conjectural understanding of the asymptotics of these moments, together with progress on obtaining good upper and lower bounds in many situations.