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Based on Furusawa's theory, we present an integral representation for theL-function L(s,\pi \times \tau), where \pi is a cuspidal automorphicrepresentation on GSp(4) related to a holomorphic Siegel modular form, andwhere \tau is an arbitrary cuspidal automorphic representation on GL(2). As anapplication, a special value result for this L-function in the spirit ofDeligne's conjecture is proved.

Integral representation for L-functions for GSp(4) x GL(2), II