The distribution of values of zeta and L-functions

Kannan Soundararajan

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.

https://www.ias.edu/video/distribution-values-zeta-and-l-functions