Let G be the unramified unitary group in three variables defined over a p-adic field with p≠ 2. In this paper, we establish a theory of newforms for the Rankin–Selberg integral for G introduced by Gelbart and Piatetski-Shapiro. We describe L and ε-factors defined through zeta integrals in terms of newforms. We show that zeta integrals of newforms for generic representations attain L-factors. As a corollary, we get an explicit formula for ε-factors of generic representations.
|Number of pages||28|
|Publication status||Published - Aug 1 2018|
- Local newform
- p-adic group
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