Distinguished representations and exceptional poles of the Asai-L-function
نویسندگان
چکیده
Let K/F be a quadratic extension of p-adic fields. We show that a generic irreducible representation of GL(n, K) is distinguished if and ony if its Rankin-Selberg Asai L-function has an exceptional pole at zero. We use this result to compute Asai L-functions of ordinary irreducible representations of GL(2, K). In the appendix, we describe supercuspidal dihedral representations of GL(2, K) in terms of Langlands parameter.
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