A1 Refereed original research article in a scientific journal

The eighth moment of Dirichlet L-functions II



Authors: Chandee, Vorrapan; Li, Xiannan; Matomäki, Kaisa; Radziwiłł, Maksym

Publisher: Duke University Press

Publication year: 2024

Journal: Duke Mathematical Journal

Journal name in source: Duke Mathematical Journal

Volume: 173

Issue: 18

First page : 3453

Last page: 3493

ISSN: 0012-7094

eISSN: 1547-7398

DOI: https://doi.org/10.1215/00127094-2024-0014

Web address : https://doi.org/10.1215/00127094-2024-0014

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/484703831


Abstract
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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Last updated on 2025-02-04 at 15:29