Open Access
March 2015 Differential operators on modular forms associated to theta series
Min Ho Lee
Funct. Approx. Comment. Math. 52(1): 75-82 (March 2015). DOI: 10.7169/facm/2015.52.1.6

Abstract

We construct an operator on modular forms by modifying the derivative operator using certain theta series. To show that the image of a~modular form under this operator is a~modular form we use Jacobi-like forms determined by theta series as well as quasimodular forms obtained from such Jacobi-like forms.

Citation

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Min Ho Lee. "Differential operators on modular forms associated to theta series." Funct. Approx. Comment. Math. 52 (1) 75 - 82, March 2015. https://doi.org/10.7169/facm/2015.52.1.6

Information

Published: March 2015
First available in Project Euclid: 20 March 2015

zbMATH: 1381.11030
MathSciNet: MR3326125
Digital Object Identifier: 10.7169/facm/2015.52.1.6

Subjects:
Primary: 11F11
Secondary: 11F50

Keywords: Jacobi-like forms , modular forms , quasimodular forms , theta series

Rights: Copyright © 2015 Adam Mickiewicz University

Vol.52 • No. 1 • March 2015
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