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].
Bibliographical noteFunding Information:
The research of the first named author is supported in part by the NSF Grant DMS-1301567 .
© 2014 Elsevier Inc.
- Arthur parameters
- Poles of automorphic L-functions
- Theta correspondence and periods