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Transfer of Siegel Cusp Forms of Degree 2 Book PDF Summary

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

Detail Book of Transfer of Siegel Cusp Forms of Degree 2 PDF

Transfer of Siegel Cusp Forms of Degree 2
  • Author : Ameya Pitale
  • Release : 29 September 2014
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821898567
  • Genre : Mathematics
  • Total Page : 120 pages
  • Language : English
  • PDF File Size : 19,6 Mb

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Transfer of Siegel Cusp Forms of Degree 2

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This monograph introduces two approaches to studying Siegel modular forms: the classical approach as...