Hecke eigenforms for meromorphic cusp forms
Abstract
Abstract In this paper, we construct Hecke eigenforms for two families of quotient spaces of meromorphic cusp forms on $$\operatorname {SL}_2(\mathbb {Z})$$ SL 2 ( Z ) . We show that each quotient space in the first (resp. second family) is isomorphic as a Hecke module to the space $$S_{2k}$$ S 2 k (resp. $$M_{2k}$$ M 2 k ) of cusp forms (resp. holomorphic modular forms) of the same weight on $$\operatorname {SL}_2(\mathbb {Z})$$ SL 2 ( Z ) .
Fields of Study & Subjects
Advanced Algebra and Geometry
Analytic Number Theory Research
Advanced Mathematical Identities
Publication details
- Journal / source
- Mathematische Zeitschrift
- Publisher
- Springer Science and Business Media LLC
- Volume
- 313
- Issue
- 4
- Publication date
- 10 July 2026
- Language
- EN