Multilinear operators on Siegel modular forms of genus 1 and 2
type: Item
instance of: scholarly article
title: Multilinear operators on Siegel modular forms of genus 1 and 2
zbMATH Open document ID: 0966.11020
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-01-31T00:00:00Z
review text: Although the derivative of a modular form is not a modular form in general, certain combinations of derivatives of modular forms produce modular forms. Examples of such combinations include Rankin-Cohen brackets, which are bilinear operators on the graded ring of modular forms. In this paper the author constructs multilinear differential operators on Siegel modular forms of genus 1 and 2, which generalize Rankin-Cohen brackets in the genus 1 case.
reviewed by: Min Ho Lee
Mathematics Subject Classification ID: 11F46
Mathematics Subject Classification ID: 11F60
zbMATH DE Number: 1278858
zbMATH Keywords: Siegel modular forms
zbMATH Keywords: differential operators
zbMATH Keywords: Rankin-Cohen brackets
author: YoungJu Choie
MaRDI profile type: Publication
OpenAlex ID: W2090695386
cites work: Jacobi forms and the heat operator
cites work: Jacobi forms and the heat operator. II
cites work: Rankin-Cohen operators for Jacobi and Siegel forms
cites work: Sums involving the values at negative integers of \(L\)-functions of quadratic characters
cites work: Q4718264
cites work: The theory of Jacobi forms
cites work: Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
cites work: Q3237360
cites work: The construction of automorphic forms from the derivatives of given forms
cites work: Algebras of symbols and modular forms
cites work: Modular forms and differential operators
cites work: Q4284459
DOI: 10.1006/JMAA.1998.6237
description: scientific article; zbMATH DE number 1278858