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The second moment of Dirichlet twists of Hecke $L$-functions

dc.contributor.authorGAO, Peng
dc.contributor.authorKHAN, Rizwanur
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRICOTTA, Guillaume
dc.date.accessioned2024-04-04T03:21:43Z
dc.date.available2024-04-04T03:21:43Z
dc.date.created2009-03-25
dc.date.issued2009
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194683
dc.description.abstractEnFix a Hecke cusp form $f$, and consider the $L$-function of $f$ twisted by a primitive Dirichlet character. As we range over all primitive characters of a large modulus $q$, what is the average behavior of the square of the central value of this $L$-function? Stefanicki proved an asymptotic valid only for $q$ having very few prime factors, and we extend this to almost all $q$.
dc.language.isoen
dc.publisherInstytut Matematyczny PAN
dc.title.enThe second moment of Dirichlet twists of Hecke $L$-functions
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv0812.2606
bordeaux.journalActa Arithmetica
bordeaux.page57--65
bordeaux.volume140
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01023571
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01023571v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Acta%20Arithmetica&rft.date=2009&rft.volume=140&rft.spage=57--65&rft.epage=57--65&rft.au=GAO,%20Peng&KHAN,%20Rizwanur&RICOTTA,%20Guillaume&rft.genre=article


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