The eighth moment of Dirichlet L-functions II

2023/07/25 by Chandee, Vorrapan, Li, Xiannan, Matomäki, Kaisa +1 · 3 citations
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2307.13194

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≤ 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.

Cited by

• Bilinear forms with Kloosterman sums via quadratic characters
• Mixed moments of twisted L-functions
• Small solutions of ternary quadratic congruences with averaging over the moduli

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