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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
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].
Keywords: twisted moments; Dirichlet L-functions; function fields
College: Faculty of Science and Engineering
Funders: Swansea University; Leverhulme Trust
Start Page: 1
End Page: 8

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