Doubling zeta integrals and local factors for metaplectic groups-Reference-Cited by-同舟云学术

Doubling zeta integrals and local factors for metaplectic groups

Published:2012-12 Issue: Volume:208 Page:67-95
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Gan Wee Teck

Abstract

AbstractWe develop the theory of the doubling zeta integral of Piatetski-Shapiro and Rallis for metaplectic groups Mp2n, and we use it to give precise definitions of the local γ-factors, L-factors, and ε-factors for irreducible representations of Mp2n × GL1, following the footsteps of Lapid and Rallis.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. Nonvanishing theorems for the cohomology of certain arithmetic quotients;Li;J. Reine Angew. Math.,1992

2. Functional equations of p-adic zeta integrals and representations of the metaplectic group;Sweet,1995

3. The Langlands-Shahidi method for the metaplectic group and applications;Szpruch

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