Transfer of Siegel cusp forms of degree 2

著者

• Pitale, Ameya
• Saha, Abhishek
• Schmidt, Ralf

書誌事項

Transfer of Siegel cusp forms of degree 2

Ameya Pitale, Abhishek Saha, Ralf Schmidt

（Memoirs of the American Mathematical Society, no. 1090）

American Mathematical Society, c2014

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

「Nielsen BookData」 より

• NII書誌ID(NCID): BB17162074
• ISBN:
  • 9780821898567
• LCCN: 2014024655
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Providence, R.I.
• ページ数/冊数: v, 107 p.
• 大きさ: 26 cm
• 分類:
  • LCC : QA243
  • DC23 : 512.7
• 件名:
  • LCSH : Cusp forms (Mathematics)
  • LCSH : Siegel domains
  • LCSH : Modular groups
• 親書誌ID:
  • BA00035927