Comportement asymptotique des hauteurs des points de Heegner
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RICOTTA, Guillaume | |
| dc.contributor.author | TEMPLIER, Nicolas | |
| dc.date.accessioned | 2024-04-04T03:21:44Z | |
| dc.date.available | 2024-04-04T03:21:44Z | |
| dc.date.created | 2008-07-18 | |
| dc.date.issued | 2009-10-14 | |
| dc.identifier.issn | 2118-8572 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194684 | |
| dc.description.abstractEn | The 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.iso | en | |
| dc.publisher | Société Arithmétique de Bordeaux | |
| dc.title | Comportement asymptotique des hauteurs des points de Heegner | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.identifier.arxiv | 0807.2930 | |
| bordeaux.journal | Journal de Théorie des Nombres de Bordeaux | |
| bordeaux.page | 741--753 | |
| bordeaux.volume | 21 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01023568 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01023568v1 | |
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