Differential operators on Hermitian Jacobi forms
type: Item
instance of: scholarly article
title: Differential operators on Hermitian Jacobi forms
zbMATH Open document ID: 1009.11031
author: Haesuk Kim
published in: Archiv der Mathematik
publication date: 2002-12-01T00:00:00Z
review text: The derivative of a modular form in general fails to be a modular form again, but certain combinations of derivatives yield a modular form of higher weight. Such a theory was developed for elliptic and Siegel modular forms as well as for Jacobi forms by Rankin, Cohen, Zagier and Choie among others. In the paper under review the author derives analogous results for Hermitian modular forms of degree 2 and associated Hermitian Jacobi forms in the sense of \textit{K. K. Haverkamp} [Result. Math. 29, 78-89 (1996; Zbl 0864.11025)].
Mathematics Subject Classification ID: 11F55
Mathematics Subject Classification ID: 11F60
Mathematics Subject Classification ID: 11F50
zbMATH DE Number: 1837325
zbMATH Keywords: Hermitian modular forms
zbMATH Keywords: Rankin-Cohen operator
reviewed by: Aloys Krieg
MaRDI profile type: Publication
full work available at URL: s00013-002-8306-1
OpenAlex ID: W2018731610
DOI: 10.1007/S00013-002-8306-1
description: scientific article; zbMATH DE number 1837325