Lower order terms for the one-level densities 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 | 2024-04-04T02:51:03Z | |
| dc.date.available | 2024-04-04T02:51:03Z | |
| dc.date.issued | 2010 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191964 | |
| dc.description.abstractEn | In a previous paper, the authors determined, among other things, the main terms for the one-level densities for low-lying zeros of symmetric power L-functions in the level aspect. In this paper, the lower order terms of these one-level densities are found. The combinatorial difficulties, which should arise in such context, are drastically reduced thanks to Chebyshev polynomials, which are the characters of the irreducible representations of SU(2). % | |
| dc.description.sponsorship | Théorie modulaire des nombres et applications - ANR-07-JCJC-0140 | |
| dc.language.iso | en | |
| dc.publisher | Instytut Matematyczny PAN | |
| dc.subject.en | symmetric power L-functions | |
| dc.subject.en | non-trivial zeros | |
| dc.subject.en | one-level density | |
| dc.title.en | Lower order terms for the one-level densities 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 | 0806.2908 | |
| bordeaux.journal | Acta Arithmetica | |
| bordeaux.page | 153-170 | |
| bordeaux.volume | 141 | |
| 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-00288656 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00288656v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Acta%20Arithmetica&rft.date=2010&rft.volume=141&rft.issue=2&rft.spage=153-170&rft.epage=153-170&rft.au=RICOTTA,%20Guillaume&ROYER,%20Emmanuel&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||