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$\operatorname { {GL}}_n$ OVER p-ADIC FIELDS
We prove a general formula that relates the parity of the Langlands parameter of a conjugate self-dual discrete series representation of 
$\operatorname { {GL}}_n$ to the parity of its Jacquet-Langlands image. It gives a generalization of a partial result by Mieda concerning the case of invariant 
$1/n$ and supercuspidal representations. It also gives a variation of the result on the self-dual case by Prasad and Ramakrishnan.
