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# The local converse theorem for SO ( 2 n + 1 ) and applications

@inproceedings{Jiang2003TheLC, title={The local converse theorem for SO ( 2 n + 1 ) and applications}, author={Dihua Jiang and David Soudry}, year={2003} }

- Published 2003

In this paper we characterize irreducible generic representations of SO2n+1(k) (where k is a p-adic field) by means of twisted local gamma factors (the Local Converse Theorem). As applications, we prove that two irreducible generic cuspidal automorphic representations of SO2n+1(A) (where A is the ring of adeles of a number field) are equivalent if their local components are equivalent at almost all local places (the Rigidity Theorem); and prove the Local Langlands Reciprocity Conjecture for… CONTINUE READING