Trivial Zeros of $p$-adic $L$-Functions at Near-Central Points
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BENOIS, Denis | |
| dc.date.accessioned | 2024-04-04T02:17:55Z | |
| dc.date.available | 2024-04-04T02:17:55Z | |
| dc.date.created | 2013-09-04 | |
| dc.date.issued | 2014-07-01 | |
| dc.identifier.issn | 1474-7480 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189269 | |
| dc.description.abstractEn | Using the L-invariant constructed in our previous paper we prove a Mazur-Tate-Teitelbaum-style formula for derivatives of p-adic L-functions of modular forms at trivial zeros. The novelty of this result is to cover the near-central point case. In the central point case our formula coincides with the Mazur-Tate-Teitelbaum conjecture proved by Greenberg and Stevens and by Kato, Kurihara and Tsuji at the end of the 1990s. | |
| dc.language.iso | en | |
| dc.publisher | Cambridge University Press (CUP) | |
| dc.title.en | Trivial Zeros of $p$-adic $L$-Functions at Near-Central Points | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1017/S1474748013000261 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Journal of the Institute of Mathematics of Jussieu | |
| bordeaux.page | 561-598 | |
| bordeaux.volume | 13 | |
| 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-00992320 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00992320v1 | |
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