Transfer of Siegel Cusp Forms of Degree 2 Paperback / softback
by Ameya Pitale, Abhishek Saha, Ralf Schmidt
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
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 ``niceâ€. 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?.
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:107 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2014
- Category:
- ISBN:9780821898567
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Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:107 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2014
- Category:
- ISBN:9780821898567