Functiones et Approximatio Commentarii Mathematici
- Funct. Approx. Comment. Math.
- Volume 52, Number 1 (2015), 75-82.
Differential operators on modular forms associated to theta series
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.
Funct. Approx. Comment. Math., Volume 52, Number 1 (2015), 75-82.
First available in Project Euclid: 20 March 2015
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 11F11: Holomorphic modular forms of integral weight
Secondary: 11F50: Jacobi forms
Lee, Min Ho. Differential operators on modular forms associated to theta series. Funct. Approx. Comment. Math. 52 (2015), no. 1, 75--82. doi:10.7169/facm/2015.52.1.6. https://projecteuclid.org/euclid.facm/1426857036