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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1-28
Number of pages28
JournalMathematische Zeitschrift
DOIs
Publication statusAccepted/In press - Dec 6 2017

Keywords

  • L-factor
  • Local newform
  • p-adic group

ASJC Scopus subject areas

  • Mathematics(all)

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