Distinguished representations and exceptional poles of the Asai-L-function
| dc.creator | Matringe, Nadir | |
| dc.date | 2008-07-17 | |
| dc.date | 2008-11-04 | |
| dc.date.accessioned | 2026-07-07T10:15:07Z | |
| dc.date.available | 2026-07-07T10:15:07Z | |
| dc.description | In this article, we proove that it is equivalent for a generic irreducible representation of GL(n,K), with K a p-adic field, to be distinguished, and for its Rankin-Selberg Asai L-function to have an exceptional pole at zero. This extends a criterion of Kable claiming that a discrete series representation is distinguished if and only if its Asai L-function has a pole at zero. As an application we compute by local methods Asai L-functions of ordinary representations of GL(2,K), in particular we give a formula for Asai L-functions of principal series representations of GL(2,K). | |
| dc.identifier | https://arxiv.org/abs/0807.2748 | |
| dc.identifier | http://arxiv.org/abs/0807.2748 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173079 | |
| dc.subject | Representation Theory | |
| dc.title | Distinguished representations and exceptional poles of the Asai-L-function | |
| dc.type | text |