Abstract
| - Let E/F be a quadratic extension of p-adic fields. We compute the value of for a square integrable representation π of GLn(E), which is (Galois) conjugate self-dual, where r denotes the Asai representation. This is the twisted version of a well-known result due to Bushnell and Henniart. The proof makes use of a result on the corresponding global root number, which is proved by a method conceived by Lapid and Rallis.
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