Moments of Dirichlet $L$-functions

Date: 2021-03-08

Time: 17:00 - 18:00

Zoom link:

Kaisa Matomäki (University of Turku)

I will discuss my on-going joint work with Vorrapan Chandee, Xiannan Li, and Maksym Radziwill on moments of Dirichlet $L$-functions. I will mostly concentrate on our result giving an asymptotic formula for the eighth moment of Dirichlet L-functions averaged over primitive characters ­modulo $q$, over all moduli $q leq Q$ and with a short average on the critical line. Previously this result was known only conditionally on the Generalized Riemann Hypothesis by work of Chandee and Li whereas a corresponding unconditional result for the sixth moment was known by work of Conrey, Iwaniec and Soundararajan.