TY - JOUR
T1 - On (χ,b)-factors of cuspidal automorphic representations of unitary groups I
AU - Jiang, Dihua
AU - Wu, Chenyan
N1 - Publisher Copyright:
© 2014 Elsevier Inc.
PY - 2016
Y1 - 2016
N2 - 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].
AB - 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].
KW - Arthur parameters
KW - Poles of automorphic L-functions
KW - Theta correspondence and periods
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U2 - 10.1016/j.jnt.2014.12.003
DO - 10.1016/j.jnt.2014.12.003
M3 - Article
AN - SCOPUS:84963642426
SN - 0022-314X
VL - 161
SP - 88
EP - 118
JO - Journal of Number Theory
JF - Journal of Number Theory
ER -