On L-factors attached to generic representations of unramified U(2,1)

Michitaka Miyauchi

doi:10.1007/s00209-017-2003-z

On L-factors attached to generic representations of unramified U(2,1)

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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
Pages (from-to)	1-28
Number of pages	28
Journal	Mathematische Zeitschrift
DOIs	https://doi.org/10.1007/s00209-017-2003-z
Publication status	Accepted/In press - Dec 6 2017

Keywords

L-factor
Local newform
p-adic group

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00209-017-2003-z

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