Hall 123

On limit theorems of zeta and L-functions

Anup Dixit

IMSc

As the values of the Riemann zeta-function in the critical strip hold significant arithmetic information, H. Bohr initiated the study of understanding the value distribution of zeta(s) on various subsets in the critical strip. In this regard, the famous Bohr-Jessen limit theorem describes how zeta(sigma+it) behaves for a fixed sigma in (1/2,1). In recent times, significant progress has been made in trying to capture more precise versions and generalizations of such limit theorems, spearheaded by K. Matsumoto et al. In this talk, we will give an overview of such limit theorems, describe the techniques involved and discuss some future directions to this problem.

Note: This is an in-person seminar. Please follow all covid protocols!