We extend the relation between quasi-modular forms and modular forms to a wider class of functions. We then relate both forms to vector-valued modular forms with symmetric power representations, and prove a general structure theorem for these vector-valued forms.
Bibliographical noteFunding Information:
The initial stage of this research has been carried out as part of my Ph.D. thesis work at the Hebrew University of Jerusalem, Israel. The final stage of this work was carried out at TU Darmstadt and supported by the Minerva Fellowship (Max-Planck-Gesellschaft).
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- Modular forms
- Quasi-modular forms
- Vector-valued modular forms