Work

The eighth moment of Dirichlet L-functions II

Year: 2024

Type: article

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.

Source: Duke Mathematical Journal

DOI: 10.1215/00127094-2024-0014

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

Institutions: Kansas State University, University of Turku, Northwestern University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Moments of Large Families of L-Functions and Related Questions, L-functions and prime numbers, Multiplicative Number Theory and L-functions, Mathematical Sciences Research Institute (MSRI)