On strong multiplicity one for automorphic representations
| dc.creator | Rajan, C. S. | |
| dc.date | 2002-10-16 | |
| dc.date.accessioned | 2026-07-07T04:51:59Z | |
| dc.date.available | 2026-07-07T04:51:59Z | |
| dc.description | We extend the strong multiplicity one theorem of Jacquet, Piatetski-Shapiro and Shalika. Let $π$ be a unitary, cuspidal, automorphic representation of $GL_n(\A_K)$. Let $S$ be a set of finite places of $K$, such that the sum $\sum_{v\in S}Nv^{-2/(n^2+1)}$ is convergent. Then $π$ is uniquely determined by the collection of the local components $\{π_v\mid v\not\in S, ~v \~\text{finite}\}$ of $π$. Combining this theorem with base change, it is possible to consider sets $S$ of positive density, having appropriate splitting behavior with respect to solvable extensions of $K$, and where $π$ is determined upto twisting by a character of the Galois group of $L$ over $K$. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210235 | |
| dc.identifier | http://arxiv.org/abs/math/0210235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65306 | |
| dc.subject | Number Theory | |
| dc.subject | 11F70 | |
| dc.title | On strong multiplicity one for automorphic representations | |
| dc.type | text |