Epsilon factor for GL_l \times GL_{l'}; l\neq l' primes
| dc.creator | Takahashi, Tetsuya | |
| dc.date | 2004-08-22 | |
| dc.date.accessioned | 2026-07-07T05:11:27Z | |
| dc.date.available | 2026-07-07T05:11:27Z | |
| dc.description | Let $F$ be a non-Archimedean local field with finite residual field of characteristic $p$. In this article we calculate the $ε$-factor of pairs for $\GL_l(F) \times \GL_{l'}(F)$ where $l$ and $l'$ are distinct primes including the case $l=p$. For this calculation, we use the local Langlands correspondence and non-Galois base change lift. This method leads to the explicit conjecture of the $ε$-factor of the representations of $\GL_m \times \GL_n$ when $n$ is relatively prime to $m$ and $p$. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408293 | |
| dc.identifier | http://arxiv.org/abs/math/0408293 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72248 | |
| dc.subject | Number Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 22E50(Primary),11F70(Secondary) | |
| dc.title | Epsilon factor for GL_l \times GL_{l'}; l\neq l' primes | |
| dc.type | text |