Integral representation for L-functions for GSp4 ×GL2, II
نویسندگان
چکیده
Based on Furusawa’s theory [7], we present an integral representation for the L-function L(s, π× τ), where π is a cuspidal automorphic representation on GSp4 related to a holomorphic Siegel modular form, and where τ is an arbitrary cuspidal automorphic representation on GL2. As an application, a special value result for this L-function in the spirit of Deligne’s conjecture is proved.
منابع مشابه
Transfer of Siegel Cusp Forms of Degree 2
Let π be the automorphic representation of GSp4(A) generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and τ be an arbitrary cuspidal, automorphic representation of GL2(A). Using Furusawa’s integral representation for GSp4 ×GL2 combined with a pullback formula involving the unitary group GU(3, 3), we prove that the L-functions L(s, π× τ ) are “nice”. The conve...
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