Automorphic representations with prescribed ramification for unitary groups

نویسنده

  • William Conley
چکیده

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 infinity. We prove an asymptotic formula for the number of automorphic representations of G whose factors at finitely many places are prescribed up to inertia. These factors are specified by local inertial types, and the proof relies crucially on a bound on the traces of these types, which we establish first.

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تاریخ انتشار 2012