Moments of Dirichlet L-Functions

HUANG Bing-rong, HUANG Jun-hao

doi:10.13371/j.cnki.chin.q.j.m.2025.04.003

Chinese Quarterly Journal of Mathematics >

2025 , Vol. 40 >Issue 4: 360 - 371

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.04.003

Moments of Dirichlet L-Functions

Expand

Data Science Institute and School of Mathematics, Shandong University, Jinan 250100, China

HUANG Bing-rong, professor of Shandong University, engages in analytic number theory; HUANG Jun-hao, master student of Shandong University, engages in analytic number theory.

Received date: 2025-08-26

Online published: 2025-12-30

Supported by

Supported by the National Key R&D Program of China (Grant No. 2021YFA1000700) and National Natural Science Foundation of China (Grant No. 12031008).

Fold

Abstract

In this paper, we establish asymptotic formulas for a cubic moment of Dirichlet L-functions restricted to a coset, as well as for a mixed moment of Dirichlet L-functions and twists of GL(2) L-functions along a coset. Our main tool is a power-saving estimate of bilinear forms of hyper-Kloosterman sums due to Kowalski–Michel–Sawin.

Key words： Moment; Twist; Dirichlet L-functions; Coset

Cite this article

HUANG Bing-rong, HUANG Jun-hao . Moments of Dirichlet L-Functions[J]. Chinese Quarterly Journal of Mathematics, 2025 , 40(4) : 360 -371 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.04.003

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article