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Real zeros and size of Rankin-Selberg L-functions

hal.structure.identifierInstitut de Mathématiques et de Modélisation de Montpellier [I3M]
hal.structure.identifierDépartement de Mathématiques et de statistique [UdeM- Montréal] [DMS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRICOTTA, Guillaume
dc.date.accessioned2024-04-04T02:42:30Z
dc.date.available2024-04-04T02:42:30Z
dc.date.issued2006
dc.identifier.issn0012-7094
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191249
dc.description.abstractEnIn this paper, some asymptotic formula is proved for the harmonic mollified second moment of a family of Rankin-Selberg L-functions. The main contribution is a substancial improvement of the admissible length of the mollifier which is done by solving a shifted convolution problem by a spectral method on average. Consequences : · new subconvexity bound, · exponential decay of the analytic rank, · non-vanishing result around the real axis.
dc.language.isoen
dc.publisherDuke University Press
dc.title.enReal zeros and size of Rankin-Selberg L-functions
dc.typeArticle de revue
dc.identifier.doi10.1215/S0012-7094-06-13124-1
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
bordeaux.journalDuke Mathematical Journal
bordeaux.page291--350
bordeaux.volume131
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00355150
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00355150v1
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