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Endoscopic transfer
for unitary groups and holomorphy of Asai $L$-functions
Neven Grbac and Freydoon Shahidi |
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Vol. 276 (2015), No. 1, 185–211
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Abstract |
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The analytic properties of the complete Asai -functions attached to cuspidal automorphic representations of the general linear group over a quadratic extension of a number field are obtained. The proof is based on the comparison of the Langlands–Shahidi method and Mok’s endoscopic classification of automorphic representations of quasisplit unitary groups. |
Keywords
Asai $L$-function, automorphic representation, endoscopic
classification, spectral decomposition, quasisplit unitary
group
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Mathematical Subject Classification 2010
Primary: 11F66, 11F70, 11F72, 22E55
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Milestones
Received: 17 February 2014
Revised: 17 April 2014
Accepted: 18 July 2014
Published: 1 July 2015
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Authors |
| Neven Grbac | |
| Department of Mathematics University of Rijeka Radmile Matejcic 2 HR-51000 Rijeka Croatia |
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| Freydoon Shahidi | |
| Department of Mathematics Purdue University 150 N University Street West Lafayette, IN 47907-2067 United States |
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