Transfer of Siegel Cusp Forms of Degree 2 - Couverture souple

Pitale, Ameya; Saha, Abhishek; Schmidt, Ralf

 
9780821898567: Transfer of Siegel Cusp Forms of Degree 2
Couverture souple
ISBN 10 : 0821898566 ISBN 13 : 9780821898567
Editeur : American Mathematical Society, 2014

Synopsis

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?.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Ameya Pitale, University of Oklahoma, Norman, Oklahoma, USA.

Abhishek Saha, University of Bristol, United Kingdom.

Ralf Schmidt, University of Oklahoma, Norman, Oklahoma, USA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2014
Langue
anglais
ISBN 10 
0821898566
ISBN 13 
9780821898567
Reliure
Broché
Nombre de pages
107
Coordonnées du fabricant
non disponible
Personne responsable
non disponible