Real zeros and size of Rankin-Selberg L-functions
| hal.structure.identifier | Institut de Mathématiques et de Modélisation de Montpellier [I3M] | |
| hal.structure.identifier | Département de Mathématiques et de statistique [UdeM- Montréal] [DMS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RICOTTA, Guillaume | |
| dc.date.accessioned | 2024-04-04T02:42:30Z | |
| dc.date.available | 2024-04-04T02:42:30Z | |
| dc.date.issued | 2006 | |
| dc.identifier.issn | 0012-7094 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191249 | |
| dc.description.abstractEn | In 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.iso | en | |
| dc.publisher | Duke University Press | |
| dc.title.en | Real zeros and size of Rankin-Selberg L-functions | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1215/S0012-7094-06-13124-1 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Duke Mathematical Journal | |
| bordeaux.page | 291--350 | |
| bordeaux.volume | 131 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00355150 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00355150v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Duke%20Mathematical%20Journal&rft.date=2006&rft.volume=131&rft.issue=2&rft.spage=291--350&rft.epage=291--350&rft.eissn=0012-7094&rft.issn=0012-7094&rft.au=RICOTTA,%20Guillaume&rft.genre=article |
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