Transfer of Siegel Cusp Forms of Degree 2: (Memoirs of the American Mathematical Society)
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Transfer of Siegel Cusp Forms of Degree 2: (Memoirs of the American Mathematical Society)

Transfer of Siegel Cusp Forms of Degree 2: (Memoirs of the American Mathematical Society)

By
Ameya Pitale (Author) Abhishek Saha (Author) Ralf Schmidt (Author)  

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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?.
Ameya Pitale, University of Oklahoma, Norman, Oklahoma, USA.Abhishek Saha, University of Bristol, United Kingdom.Ralf Schmidt, University of Oklahoma, Norman, Oklahoma, USA.
  • Contributor: Ameya Pitale
  • Imprint: American Mathematical Society
  • ISBN13: 9780821898567
  • Number of Pages: 107
  • Packaged Dimensions: 178x254mm
  • Packaged Weight: 188
  • Format: Paperback
  • Publisher: American Mathematical Society
  • Release Date: 2014-10-30
  • Series: Memoirs of the American Mathematical Society
  • Binding: Paperback / softback
  • Biography: Ameya Pitale, University of Oklahoma, Norman, Oklahoma, USA.Abhishek Saha, University of Bristol, United Kingdom.Ralf Schmidt, University of Oklahoma, Norman, Oklahoma, USA.

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