Analytic Jacobi Eisenstein series and the Shimura method
type: Item
instance of: scholarly article
title: Analytic Jacobi Eisenstein series and the Shimura method
zbMATH Open document ID: 1065.11029
author: Bernhard Heim
published in: Journal of Mathematics of Kyoto University
publication date: 2004-12-29T00:00:00Z
review text: The author shows that analytic Jacobi Eisenstein series always possess a meromorphic continuation to the whole complex plane. Moreover, a statement on the possible poles is included. In Shimura's investigation on the poles of \(L\)-functions a particular integral appears. This integral can now be interpreted as the Petersson scalar product of an analytic Jacobi Eisenstein series restricted to the Siegel variable against the modular form.
Mathematics Subject Classification ID: 11F50
Mathematics Subject Classification ID: 11F66
zbMATH DE Number: 2124046
zbMATH Keywords: Jacobi Eisenstein series
zbMATH Keywords: standard \(L\)-function
reviewed by: Aloys Krieg
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250283689
OpenAlex ID: W1929553075
DOI: 10.1215/KJM/1250283689
description: scientific article; zbMATH DE number 2124046