%0 Journal Article %T Automorphic representations with prescribed ramification for unitary groups %A William Conley %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1110.3659v1