Abstract
Let G be the unramified unitary group in three variables defined over a p-adic field with (Formula presented.). 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 (Formula presented.)-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 (Formula presented.)-factors of generic representations.
Original language | English |
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Pages (from-to) | 1-28 |
Number of pages | 28 |
Journal | Mathematische Zeitschrift |
DOIs | |
Publication status | Accepted/In press - Dec 6 2017 |
Keywords
- L-factor
- Local newform
- p-adic group
ASJC Scopus subject areas
- Mathematics(all)