On moments of <i>L</i>-functions over Dirichlet characters

Abstract We give a new proof of Heath-Brown’s full asymptotic expansion for the second moment of Dirichlet L -functions and we obtain a corresponding asymptotic expansion for a twisted first moment of Hecke–Maass L -functions.

Authors

Publication Details

Journal
Canadian Mathematical Bulletin
Published
2025-09-19
DOI
https://doi.org/10.4153/s0008439525101252
Citations
1
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
5.38

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On moments of L-functions over Dirichlet characters

Rizwanur Khan, Avery Bainbridge, Ze Sen Tang
1 citations
Canadian Mathematical Bulletin
Analytic Number Theory Research
5.38
article

On moments of L-functions over Dirichlet characters

Rizwanur Khan, Avery Bainbridge, Ze Sen Tang
article en
1 citations

Abstract

Abstract We give a new proof of Heath-Brown’s full asymptotic expansion for the second moment of Dirichlet L -functions and we obtain a corresponding asymptotic expansion for a twisted first moment of Hecke–Maass L -functions.

Canadian Mathematical Bulletin
National Science Foundation, University of Cambridge
Openalex Percentile: Top 5%
Analytic Number Theory Research
5.38
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

On moments of <i>L</i>-functions over Dirichlet characters — Rizwanur Khan, Avery Bainbridge, et al. · Canadian Mathematical Bulletin (2025) | TGRS Research Map | TGRS