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arXiv · 2307.13194

The eighth moment of Dirichlet L-functions II

Vorrapan Chandee·Xiannan Li·Kaisa Matomäki·Maksym Radziwiłł
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Abstract

We prove an asymptotic formula for the eighth moment of Dirichlet $L$-functions averaged over primitive characters $\chi$ modulo $q$, over all moduli $q\leq Q$ and with a short average on the critical line. Previously the same result was shown conditionally on the Generalized Riemann Hypothesis by the first two authors.

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Vorrapan Chandee, Xiannan Li, Kaisa Matomäki, Maksym Radziwiłł. 2023-07-25. The eighth moment of Dirichlet L-functions II. https://arxiv.org/abs/2307.13194

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