On (χ,b)-factors of cuspidal automorphic representations of unitary groups I

Dihua Jiang, Chenyan Wu

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2 Scopus citations

Abstract

Following the idea of [GJS09] for orthogonal groups, we introduce a new family of period integrals for cuspidal automorphic representations σ of unitary groups and investigate their relation with the occurrence of a simple global Arthur parameter (χ, b) in the global Arthur parameter ψσ associated to σ, by the endoscopic classification of Arthur [Art13,Mok13,KMSW14]. The argument uses the theory of theta correspondence. This can be viewed as a part of the (χ, b)-theory outlined in [Jia14] and can be regarded as a refinement of the theory of theta correspondences and poles of certain L-functions, which was outlined in [Ral91].

Original languageEnglish (US)
Pages (from-to)88-118
Number of pages31
JournalJournal of Number Theory
Volume161
DOIs
StatePublished - 2016

Bibliographical note

Funding Information:
The research of the first named author is supported in part by the NSF Grant DMS-1301567 .

Publisher Copyright:
© 2014 Elsevier Inc.

Keywords

  • Arthur parameters
  • Poles of automorphic L-functions
  • Theta correspondence and periods

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