Transfer of Siegel Cusp Forms of Degree 2

Released on by Ameya Pitale
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  • Transfer of Siegel Cusp Forms of Degree 2 Book Detail

  • Author : Ameya Pitale
  • Release Date : 2014-09-29
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 120
  • ISBN 13 : 0821898566
  • File Size : 42,42 MB
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Transfer of Siegel Cusp Forms of Degree 2 by Ameya Pitale PDF Summary

Book Description: 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

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Transfer of Siegel Cusp Forms of Degree 2

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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, au

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This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and t

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This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "Automorphic Forms and L-Functions", held