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Comportement asymptotique des hauteurs des points de Heegner

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRICOTTA, Guillaume
dc.contributor.authorTEMPLIER, Nicolas
dc.date.accessioned2024-04-04T03:21:44Z
dc.date.available2024-04-04T03:21:44Z
dc.date.created2008-07-18
dc.date.issued2009-10-14
dc.identifier.issn2118-8572
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194684
dc.description.abstractEnThe leading order term for the average, over quadratic discriminants satisfying the so-called Heegner condition, of the Neron-Tate height of Heegner points on a rational elliptic curve E has been determined in [12]. In addition, the second order term has been conjectured. In this paper, we prove that this conjectured second order term is the right one; this yields a power saving in the remainder term. Cancellations of Fourier coefficients of GL(2)-cusp forms in arithmetic progressions lie in the core of the proof.
dc.language.isoen
dc.publisherSociété Arithmétique de Bordeaux
dc.titleComportement asymptotique des hauteurs des points de Heegner
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.identifier.arxiv0807.2930
bordeaux.journalJournal de Théorie des Nombres de Bordeaux
bordeaux.page741--753
bordeaux.volume21
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01023568
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01023568v1
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