Geodesic
On the Langlands correspondence for symplectic motives
Izvestiya. Mathematics , Tome 80 (2016) no. 4, pp. 678-692

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We present a refinement of the global Langlands correspondence for symplectic motives. Using the local theory of generic representations of odd orthogonal groups, we define a new vector in the associated automorphic representation, which is the tensor product of test vectors for the Whittaker functionals.
Keywords: symplectic motive, generic representation, Langlands correspondence. 
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     author = {B. H. Gross},
     title = {On the {Langlands} correspondence for symplectic motives},
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B. H. Gross. On the Langlands correspondence for symplectic motives. Izvestiya. Mathematics , Tome 80 (2016) no. 4, pp. 678-692. http://geodesic.mathdoc.fr/item/IM2_2016_80_4_a4/