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

Abstract

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.

arXiv comment16 pages

References in corpus (1)

• On local newforms for unramified U(2,1)

Cited by in corpus (5)

• Conductors and newforms for non-supercuspidal representations of unramified U(2,1)
• A class number formula for Picard modular surfaces
• On L-factors attached to generic representations of unramified U(2,1)
• Local newforms for the general linear groups over a non-archimedean local field
• The local period integrals and essential vectors