Bessel functionals and Siegel modular forms
type: Item
instance of: scholarly article
title: Bessel functionals and Siegel modular forms
zbMATH Open document ID: 0848.11020
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 1996-03-24T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/93619
full work available at URL: jtnb7-1.html
review text: So-called Bessel models were studied for holomorphic Siegel modular forms of degree 2 as a replacement for Whittaker models. If an automorphic form for the adelic symplectic group possesses such a Bessel model of a special type, it was demonstrated that it can be related to a generic form, which has a Whittaker model. In the paper under review, the author shows that this procedure is not always successful. He constructs Siegel modular forms of degree and weight 2 which do not have a Bessel model of special type.
Mathematics Subject Classification ID: 11F46
zbMATH DE Number: 858011
zbMATH Keywords: Bessel functionals
zbMATH Keywords: Siegel modular forms
zbMATH Keywords: Bessel model
zbMATH Keywords: Whittaker model
author: Rainer Schulze-Pillot
reviewed by: Aloys Krieg
MaRDI profile type: Publication
OpenAlex ID: W2331882981
cites work: On Whittaker coefficients of some metaplectic forms
cites work: Siegel modular forms and theta series attached to quaternion algebras
cites work: On a theorem of Waldspurger and on Eisenstein series of Klingen type
cites work: The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2
cites work: Q5672700
cites work: On L-functions for GSp(4) X GL(2) and their special values.
cites work: GENERALIZED BESSEL MODELS FOR A SYMPLECTIC GROUP OF RANK 2
cites work: On a correspondence of automorphic forms on orthogonal groups of order five
cites work: Symplectic Geometry
cites work: Q3347959
DOI: 10.5802/JTNB.127
description: scientific article; zbMATH DE number 858011