A revisit to Ramanujan–Serre derivative map on quasimodular forms and some applications
Abstract
We revisit the Ramanujan–Serre derivative map on the space of modular forms, give a re-interpretation as a differential operator on the space of quasimodular forms. We study various algebraic properties of the differential operator, give applications in the direction of the study of the Chazy equation, Niebur’s identity, van der Pol’s identity and evaluation of convolution sums of divisor functions.
Fields of Study & Subjects
Advanced Mathematical Identities
Advanced Algebra and Geometry
Analytic Number Theory Research
Publication details
- Journal / source
- The Ramanujan Journal
- Volume
- 69
- Issue
- 2
- Publication date
- 19 January 2026
- Language
- EN