Joint value distribution of L-functions

Speaker: Junxian Li

Date: Thu, Sep 22, 2022

Location: PIMS, University of British Columbia, PIMS, University of Lethbridge, PIMS, University of Northern British Columbia, Zoom, Online

Conference: L-Functions in Analytic Number Theory Seminar

Subject: Mathematics, Number Theory

Class: Scientific


It is believed that distinct primitive L-functions are “statistically independent”. The independence can be interpreted in many different ways. We are interested in the joint value distributions and their applications in moments and extreme values for distinct L-functions. We discuss some large deviation estimates in Selberg and Bombieri-Hejhal’s central limit theorem for values of several L-functions. On the critical line, values of distinct primitive L-functions behave independently in a strong sense. However, away from the critical line, values of distinct Dirichlet L-functions begin to exhibit some correlations.

This is based on joint works with Shota Inoue.

This event is part of the PIMS CRG Group on L-Functions in Analytic Number Theory. More details can be found on the webpage here: