No Cover Image

Journal article 384 views 54 downloads

A note on twisted moments of Dirichlet L-functions

Julio Andrade, Joe Macmillan

Glasgow Mathematical Journal, Volume: 68, Issue: 2, Pages: 337 - 344

Swansea University Author: Joe Macmillan

  • 70252.VoR.pdf

    PDF | Version of Record

    © The Author(s), 2025. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence.

    Download (174.15KB)

Check full text

DOI (Published version): 10.1017/s0017089525100785

Abstract

In this paper, we establish an asymptotic formula for the twisted second moments of Dirichlet L -functions with one twist when averaged over all primitive Dirichlet characters of modulus R, where Ris a monic polynomial in Fq[T].

Published in: Glasgow Mathematical Journal
ISSN: 0017-0895 1469-509X
Published: Cambridge University Press (CUP) 2026
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa70252
first_indexed 2025-09-01T15:23:30Z
last_indexed 2026-05-22T20:08:30Z
id cronfa70252
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2026-05-20T14:02:28.3275458</datestamp><bib-version>v2</bib-version><id>70252</id><entry>2025-09-01</entry><title>A note on twisted moments of Dirichlet L-functions</title><swanseaauthors><author><sid>dda8e8e0204965bdebe94f5c7c0d83e0</sid><ORCID/><firstname>Joe</firstname><surname>Macmillan</surname><name>Joe Macmillan</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2025-09-01</date><deptcode>MACS</deptcode><abstract>In this paper, we establish an asymptotic formula for the twisted second moments of Dirichlet L -functions with one twist when averaged over all primitive Dirichlet characters of modulus R, where Ris a monic polynomial in Fq[T].</abstract><type>Journal Article</type><journal>Glasgow Mathematical Journal</journal><volume>68</volume><journalNumber>2</journalNumber><paginationStart>337</paginationStart><paginationEnd>344</paginationEnd><publisher>Cambridge University Press (CUP)</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>0017-0895</issnPrint><issnElectronic>1469-509X</issnElectronic><keywords>twisted moments; Dirichlet L-functions; function fields</keywords><publishedDay>1</publishedDay><publishedMonth>5</publishedMonth><publishedYear>2026</publishedYear><publishedDate>2026-05-01</publishedDate><doi>10.1017/s0017089525100785</doi><url/><notes/><college>COLLEGE NANME</college><department>Mathematics and Computer Science School</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>MACS</DepartmentCode><institution>Swansea University</institution><apcterm>SU Library paid the OA fee (TA Institutional Deal)</apcterm><funders>Swansea University; Leverhulme Trust</funders><projectreference/><lastEdited>2026-05-20T14:02:28.3275458</lastEdited><Created>2025-09-01T16:20:56.5020851</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Mathematics and Computer Science - Mathematics</level></path><authors><author><firstname>Julio</firstname><surname>Andrade</surname><order>1</order></author><author><firstname>Joe</firstname><surname>Macmillan</surname><orcid/><order>2</order></author></authors><documents><document><filename>70252__35264__badb3eb6cb224c568a3a8b23820d0974.pdf</filename><originalFilename>70252.VoR.pdf</originalFilename><uploaded>2025-10-06T15:31:34.0735590</uploaded><type>Output</type><contentLength>178331</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>&#xA9; The Author(s), 2025. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence.</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>https://creativecommons.org/licenses/by/4.0/</licence></document></documents><OutputDurs/></rfc1807>
spelling 2026-05-20T14:02:28.3275458 v2 70252 2025-09-01 A note on twisted moments of Dirichlet L-functions dda8e8e0204965bdebe94f5c7c0d83e0 Joe Macmillan Joe Macmillan true false 2025-09-01 MACS In this paper, we establish an asymptotic formula for the twisted second moments of Dirichlet L -functions with one twist when averaged over all primitive Dirichlet characters of modulus R, where Ris a monic polynomial in Fq[T]. Journal Article Glasgow Mathematical Journal 68 2 337 344 Cambridge University Press (CUP) 0017-0895 1469-509X twisted moments; Dirichlet L-functions; function fields 1 5 2026 2026-05-01 10.1017/s0017089525100785 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University SU Library paid the OA fee (TA Institutional Deal) Swansea University; Leverhulme Trust 2026-05-20T14:02:28.3275458 2025-09-01T16:20:56.5020851 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Julio Andrade 1 Joe Macmillan 2 70252__35264__badb3eb6cb224c568a3a8b23820d0974.pdf 70252.VoR.pdf 2025-10-06T15:31:34.0735590 Output 178331 application/pdf Version of Record true © The Author(s), 2025. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence. true eng https://creativecommons.org/licenses/by/4.0/
title A note on twisted moments of Dirichlet L-functions
spellingShingle A note on twisted moments of Dirichlet L-functions
Joe Macmillan
title_short A note on twisted moments of Dirichlet L-functions
title_full A note on twisted moments of Dirichlet L-functions
title_fullStr A note on twisted moments of Dirichlet L-functions
title_full_unstemmed A note on twisted moments of Dirichlet L-functions
title_sort A note on twisted moments of Dirichlet L-functions
author_id_str_mv dda8e8e0204965bdebe94f5c7c0d83e0
author_id_fullname_str_mv dda8e8e0204965bdebe94f5c7c0d83e0_***_Joe Macmillan
author Joe Macmillan
author2 Julio Andrade
Joe Macmillan
format Journal article
container_title Glasgow Mathematical Journal
container_volume 68
container_issue 2
container_start_page 337
publishDate 2026
institution Swansea University
issn 0017-0895
1469-509X
doi_str_mv 10.1017/s0017089525100785
publisher Cambridge University Press (CUP)
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description In this paper, we establish an asymptotic formula for the twisted second moments of Dirichlet L -functions with one twist when averaged over all primitive Dirichlet characters of modulus R, where Ris a monic polynomial in Fq[T].
published_date 2026-05-01T07:14:59Z
_version_ 1866955279381299200
score 11.107121

Similar Items