Drinfeld quasi-modular forms of higher level
Abstract
Abstract We study the structure of the vector space of Drinfeld quasi-modular forms for congruence subgroups. We provide representations as polynomials in the false Eisenstein series with coefficients in the space of Drinfeld modular forms (the E -expansion), and, whenever possible, as sums of hyperderivatives of Drinfeld modular forms. Moreover, we introduce and study the double-slash operator, and use it to provide a well-posed definition for Hecke operators on Drinfeld quasi-modular forms. We characterize eigenforms and, for the special case of Hecke congruence subgroups $$\Gamma _0(\mathfrak {m})$$ Γ 0 ( m ) , we give explicit formulas for the Hecke action on E -expansions.
Fields of Study & Subjects
Advanced Algebra and Geometry
Publication details
- Journal / source
- Research in the Mathematical Sciences
- Publisher
- Springer Science and Business Media LLC
- Volume
- 13
- Issue
- 2
- Publication date
- 25 May 2026
- Language
- EN