Shifted moments of quadratic Dirichlet L-functions

Peng Gao; Liangyi Zhao

doi:10.4153/S0008439525000335

Shifted moments of quadratic Dirichlet L-functions

Peng Gao
, Liangyi Zhao^*

^*Corresponding author for this work

School of Mathematical Sciences

University of New South Wales

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We establish sharp upper bounds for shifted moments of quadratic Dirichlet L-function under the generalized Riemann hypothesis. Our result is then used to prove bounds for moments of quadratic Dirichlet character sums.

Original language	English
Pages (from-to)	1116-1143
Number of pages	28
Journal	Canadian Mathematical Bulletin
Volume	68
Issue number	4
DOIs	https://doi.org/10.4153/S0008439525000335
State	Published - 1 Dec 2025

Keywords

Quadratic Dirichlet characters
quadratic Dirichlet L-functions
shifted moments

Access to Document

10.4153/S0008439525000335

Cite this

@article{0ff40af9962d4ce191207c131fc6d755,

title = "Shifted moments of quadratic Dirichlet L-functions",

abstract = "We establish sharp upper bounds for shifted moments of quadratic Dirichlet L-function under the generalized Riemann hypothesis. Our result is then used to prove bounds for moments of quadratic Dirichlet character sums.",

keywords = "Quadratic Dirichlet characters, quadratic Dirichlet L-functions, shifted moments",

author = "Peng Gao and Liangyi Zhao",

note = "Publisher Copyright: {\textcopyright} The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society.",

year = "2025",

month = dec,

day = "1",

doi = "10.4153/S0008439525000335",

language = "英语",

volume = "68",

pages = "1116--1143",

journal = "Canadian Mathematical Bulletin",

issn = "0008-4395",

publisher = "Canadian Mathematical Society",

number = "4",

}

TY - JOUR

T1 - Shifted moments of quadratic Dirichlet L-functions

AU - Gao, Peng

AU - Zhao, Liangyi

N1 - Publisher Copyright: © The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society.

PY - 2025/12/1

Y1 - 2025/12/1

N2 - We establish sharp upper bounds for shifted moments of quadratic Dirichlet L-function under the generalized Riemann hypothesis. Our result is then used to prove bounds for moments of quadratic Dirichlet character sums.

AB - We establish sharp upper bounds for shifted moments of quadratic Dirichlet L-function under the generalized Riemann hypothesis. Our result is then used to prove bounds for moments of quadratic Dirichlet character sums.

KW - Quadratic Dirichlet characters

KW - quadratic Dirichlet L-functions

KW - shifted moments

UR - https://www.scopus.com/pages/publications/105001202226

U2 - 10.4153/S0008439525000335

DO - 10.4153/S0008439525000335

M3 - 文章

AN - SCOPUS:105001202226

SN - 0008-4395

VL - 68

SP - 1116

EP - 1143

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

IS - 4

ER -

Shifted moments of quadratic Dirichlet L-functions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this