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Let pi be a cuspidal, automorphic representation of GSp(4) attached to aSiegel modular form of degree 2. We refine the method of Furusawa to obtain anintegral representation for the degree-8 L-function L(s,pi x tau), where tauruns through certain cuspidal, automorphic representation of GL(2). Ourcalculations include the case of square-free level for the p-adic components oftau, and a wide class of archimedean types including Maass forms. As anapplication we obtain a special value result for L(s,pi x tau).

Integral Representaion for L-functions for GSp(4)xGL(2)