By Ameya Pitale, Abhishek Saha, Ralf Schmidt
Permit p be the automorphic illustration of GSp4 ( A ) generated by means of an entire point cuspidal Siegel eigenform that's not a Saito-Kurokawa elevate, and t be an arbitrary cuspidal, automorphic illustration of GL? ( A ). utilizing Furusawa's critical illustration for GSp? X GL? mixed with a pullback formulation related to the unitary team GU (3,3), the authors end up that the L-functions L(s, p X t are "nice". The communicate theorem of Cogdell and Piatetski-Shapiro then signifies that such representations p have a functorial lifting to a cuspidal illustration of GL? ( A ). mixed with the exterior-square lifting of Kim, this additionally ends up in a functorial lifting of p to a cuspidal illustration of GL5 ( A ). As an program, the authors receive analytic homes of varied L-functions regarding complete point Siegel cusp kinds. additionally they receive particular worth effects for GSp? X GL? and GSp4 X GL?.
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