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A note on twisted moments of Dirichlet L-functions

Julio Andrade, Joe Macmillan

Glasgow Mathematical Journal, Pages: 1 - 8

Swansea University Author: Joe Macmillan

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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) 2025
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa70252
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last_indexed 2026-01-30T04:28:03Z
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spelling 2026-01-28T11:37:52.3644490 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 0 1 8 Cambridge University Press (CUP) 0017-0895 1469-509X twisted moments; Dirichlet L-functions; function fields 24 9 2025 2025-09-24 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 2026-01-28T11:37:52.3644490 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 0
container_start_page 1
publishDate 2025
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 2025-09-24T05:22:47Z
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score 11.096892

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