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Kaisa Matomäki: Moments of Dirichlet L-functions

Time: Mon 2021-03-08 17.00 - 18.00

Location: Zoom, meeting ID: 921 756 1880

Participating: Kaisa Matomäki - University of Turku

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Abstract

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.