The eighth moment of Dirichlet L-functions II

Chandee, Vorrapan; Li, Xiannan; Matomäki, Kaisa; Radziwiłł, Maksym
The eighth moment of Dirichlet L-functions II

Chandee, Vorrapan
Li, Xiannan
Matomäki, Kaisa
Radziwiłł, Maksym
Katso/Avaa
Lataukset: 

Duke University Press
doi:10.1215/00127094-2024-0014
URI
https://doi.org/10.1215/00127094-2024-0014
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Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2025082792860
Tiivistelmä

Abstract

We prove an asymptotic formula for the eighth moment of Dirichlet L-functions averaged over primitive characters χ modulo q, over all moduli q≤Qq≤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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