Transfer of Siegel Cusp Forms of Degree 2(English, Paperback, Pitale Ameya)

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Transfer of Siegel Cusp Forms of Degree 2(English, Paperback, Pitale Ameya) is written by Pitale Ameya and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821898566 (ISBN 10) and 9780821898567 (ISBN 13).

Let p be the automorphic representation of GSp4 (A) generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and t be an arbitrary cuspidal, automorphic representation of GL? (A). Using Furusawa's integral representation for GSp? X GL? combined with a pullback formula involving the unitary group GU (3,3), the authors prove that the L-functions L(s,p X t are ``nice". The converse theorem of Cogdell and Piatetski-Shapiro then implies that such representations p have a functorial lifting to a cuspidal representation of GL? (A). Combined with the exterior-square lifting of Kim, this also leads to a functorial lifting of p to a cuspidal representation of GL5 (A). As an application, the authors obtain analytic properties of various L-functions related to full level Siegel cusp forms. They also obtain special value results for GSp? X GL? and GSp4 X GL?.