Moments of Dirichlet $L$-functions

Number Theory

08 March 17:00 - 18:00

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.

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Pär Kurlberg
KTH Royal Institute of Technology
Lilian Matthiesen
KTH Royal Institute of Technology
Damaris Schindler
Universität Göttingen


Pär Kurlberg

Lilian Matthiesen


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