#### Vol. 276, No. 1, 2015

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Endoscopic transfer for unitary groups and holomorphy of Asai $L$-functions

### Neven Grbac and Freydoon Shahidi

Vol. 276 (2015), No. 1, 185–211
##### Abstract

The analytic properties of the complete Asai $L$-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
##### Mathematical Subject Classification 2010
Primary: 11F66, 11F70, 11F72, 22E55