Statistics for low-lying zeros of symmetric power L-functions in the level aspect
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RICOTTA, Guillaume | |
| hal.structure.identifier | Laboratoire de Mathématiques Blaise Pascal [LMBP] | |
| dc.contributor.author | ROYER, Emmanuel | |
| dc.date.accessioned | 2024-04-04T03:13:26Z | |
| dc.date.available | 2024-04-04T03:13:26Z | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 0933-7741 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193948 | |
| dc.description.abstractEn | We study one-level and two-level densities for low lying zeros of symmetric power L-functions in the level aspect. It allows us to completely determine the symmetry types of some families of symmetric power L-functions with prescribed sign of functional equation. We also compute the moments of one-level density and exhibit mock-Gaussian behavior discovered by Hughes & Rudnick. | |
| dc.description.sponsorship | Théorie modulaire des nombres et applications - ANR-07-JCJC-0140 | |
| dc.language.iso | en | |
| dc.publisher | De Gruyter | |
| dc.title.en | Statistics for low-lying zeros of symmetric power L-functions in the level aspect | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | math.NT/0703760 | |
| bordeaux.journal | Forum Mathematicum | |
| bordeaux.page | 969-1028 | |
| bordeaux.volume | 23 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00138457 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00138457v1 | |
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