On epsilon factors attached to supercuspidal representations of unramified U(2,1)

Details On epsilon factors attached to supercuspidal representations of unramified U(2,1) On epsilon factors attached to supercuspidal representations of unramified U(2,1)

2011-11-09

arxiv.org/abs/1111.2212v1

Mathematics

Number Theory

16 pages

Scientific paper

Let G be the unramified unitary group in three variables defined over a p-adic field F of odd resudual characteristic. Gelbart, Piatetski-Shapiro and Baruch attached zeta integrals of Rankin-Selberg type to irreducible generic representations of G. In this paper, we formulate a conjecture on L- and epsilon-factors defined through zeta integrals in terms of local newforms for G, which is an analogue of the result by Casselman and Deligne for GL(2). We prove our conjecture for the generic supercuspidal representations of G.

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