On the adjoint L-function of the p-adic GSp(4)
Number Theory
2007-10-11 v2 Representation Theory
Abstract
We explicitly compute the adjoint L-function of those L-packets of representations of the group GSp(4) over a p-adic field of characteristic zero that contain non-supercuspidal representations. As an application we verify a conjecture of Gross-Prasad and Rallis in this case. The conjecture states that the adjoint L-function has a pole at s=1 if and only if the L-packet contains a generic representation.
Cite
@article{arxiv.math/0703181,
title = {On the adjoint L-function of the p-adic GSp(4)},
author = {Mahdi Asgari and Ralf Schmidt},
journal= {arXiv preprint arXiv:math/0703181},
year = {2007}
}
Comments
small corrections and improvements; to appear in J. Number Theory