\(L\)-functions for Jacobi forms on \(\text{H} \times \mathbb{C}\)
type: Item
instance of: scholarly article
title: \(L\)-functions for Jacobi forms on \(\text{H} \times \mathbb{C}\)
zbMATH Open document ID: 0880.11044
author: Joachim Dulinski
published in: Results in Mathematics
publication date: 1998-01-11T00:00:00Z
review text: The purpose of this article is the investigation of Jacobi forms of degree \(n\) and scalar index \(t\) and of the analytic properties of \(L\)-functions associated to them. The method used is a modification of the pullback method of Böcherer and Garrett from the case of Siegel modular forms. For square free index \(t\) the author obtains a Rankin-Selberg integral representation of the \(L\)-function using a rationality theorem for the Hecke algebra. Similar results have been obtained by \textit{A. Murase} and, respectively, by \textit{T. Sugano} [Math. Ann. 290, 247-276 (1991; Zbl 0721.11022), Comment. Math. Univ. St. Pauli 44, 1-58 (1995; Zbl 0840.11021)].
Mathematics Subject Classification ID: 11F50
Mathematics Subject Classification ID: 11F66
zbMATH DE Number: 1003988
zbMATH Keywords: Jacobi forms
zbMATH Keywords: \(L\)-functions
zbMATH Keywords: Rankin-Selberg integral representation
reviewed by: Rainer Schulze-Pillot
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1003988