Note on the mean values of derivatives of quadratic Dirichlet L-functions in function fields

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dc.contributor.authorBae, Sunghanko
dc.contributor.authorJung, Hwanyupko
dc.date.accessioned2019-05-02T02:50:12Z-
dc.date.available2019-05-02T02:50:12Z-
dc.date.created2019-04-29-
dc.date.issued2019-05-
dc.identifier.citationFINITE FIELDS AND THEIR APPLICATIONS, v.57, pp.249 - 267-
dc.identifier.issn1071-5797-
dc.identifier.urihttp://hdl.handle.net/10203/261705-
dc.description.abstractWe study the mean values of the first and the second derivative of quadratic Dirichlet L-functions L(s, chi(D)) over the rational function field. We show that the moments of first derivatives L'(1/2, chi(D)) are just constant multiples of the moments of L(1/2, chi(D)). For the second derivatives, we improve the error term by q(1/2(1+epsilon)) and show that there is an extra term of size g(3)q(2n+1/3) in the asymptotic formula of Andrade and Rajagopal for the first moment of L ''(1/2,chi(D)). (C) 2019 Elsevier Inc. All rights reserved.-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleNote on the mean values of derivatives of quadratic Dirichlet L-functions in function fields-
dc.typeArticle-
dc.identifier.wosid000464301700013-
dc.identifier.scopusid2-s2.0-85062301677-
dc.type.rimsART-
dc.citation.volume57-
dc.citation.beginningpage249-
dc.citation.endingpage267-
dc.citation.publicationnameFINITE FIELDS AND THEIR APPLICATIONS-
dc.identifier.doi10.1016/j.ffa.2019.02.010-
dc.contributor.localauthorBae, Sunghan-
dc.contributor.nonIdAuthorJung, Hwanyup-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorFunction fields-
dc.subject.keywordAuthorHyperelliptic curves-
dc.subject.keywordAuthorDerivatives of L-functions-
dc.subject.keywordAuthorMoments of L-functions-
dc.subject.keywordAuthorQuadratic Dirichlet L-functions-
dc.subject.keywordPlus4TH MOMENT-
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