Automorphic representations with prescribed ramification for unitary groups
Number Theory
2011-10-18 v1 Representation Theory
Abstract
Let F be a totally real number field, n a prime integer, and G a unitary group of rank n defined over F that is compact at every infinite place. We prove an asymptotic formula for the number of cuspidal automorphic representations of G whose factors at finitely many places are prescribed up to inertia. The results and the methods used are a generalization to this setting of those used by Weinstein for GL_2.
Cite
@article{arxiv.1110.3659,
title = {Automorphic representations with prescribed ramification for unitary groups},
author = {William Conley},
journal= {arXiv preprint arXiv:1110.3659},
year = {2011}
}
Comments
26 pages