Transfer of Siegel cusp forms of degree 2
著者
書誌事項
Transfer of Siegel cusp forms of degree 2
（Memoirs of the American Mathematical Society, no. 1090）
American Mathematical Society, c2014
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注記
"Volume 232, number 1090 (second of 6 numbers), November 2014"
Includes bibliographical references (p. 103-107)
内容説明・目次
内容説明
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?.
目次
Introduction
Notation Distinguished vectors in local representations
Global L-functions for GSp? X GL?
The pullback formula
Holomorphy of global L-functions for GSp? X GL?
Applications
Bibliography
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