ar X iv : 0 80 7 . 35 22 v 1 [ m at h . N T ] 2 2 Ju l 2 00 8 Integral Representation for L - functions for GSp 4 × GL 2
نویسندگان
چکیده
Let π be a cuspidal, automorphic representation of GSp4 attached to a Siegel modular form of degree 2. We refine the method of Furusawa [9] to obtain an integral representation for the degree-8 L-function L(s, π × τ), where τ runs through certain cuspidal, automorphic representation of GL2. Our calculations include the case of square-free level for the p-adic components of τ , and a wide class of archimedean types including Maaß forms. As an application we obtain a special value result for L(s, π × τ).
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