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Twists of a General Class of $L$-Functions by Highly Ramified Characters |
Published:2000-09-01
Printed: Sep 2000
Printed: Sep 2000
- Freydoon Shahidi
Abstract
It is shown that given a local $L$-function defined by Langlands-Shahidi
method, there exists a highly ramified character of the group which when
is twisted with the original representation leads to a trivial
$L$-function.
| MSC Classifications: |
11F70 - Representation-theoretic methods; automorphic representations over local and global fields 22E35 - Analysis on $p$-adic Lie groups 22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05] |