Abstract
Let π be a cuspidal, automorphic representation of GSp 4 attached to a Siegel modular form of degree 2. We refine the method of Furusawa [M. Furusawa, On L-functions for GSp ( 4 ) × GL ( 2 ) and their special values, J. Reine Angew. Math. 438 (1993) 187–218] to obtain an integral representation for the degree-8 L-function L ( s , π × τ ) , where τ runs through certain cuspidal, automorphic representation of GL 2 . Our calculations include the case of any representation with unramified central character 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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