Distinguished representations and exceptional poles of the Asai-L-function |
| |
Authors: | Nadir Matringe |
| |
Institution: | 1. School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK
|
| |
Abstract: | Let K/F be a quadratic extension of p-adic fields. We show that a generic irreducible representation of GL(n, K) is distinguished if and only if its Rankin-Selberg Asai L-function has an exceptional pole at zero. We use this result to compute Asai L-functions of principal series representations of GL(2, K), hence completing the computation of these functions for generic representations of this group. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|