On Quasi-Modular Forms, Almost Holomorphic Modular Forms, and the Vector-Valued Modular Forms of Shimura
Number Theory
2020-08-12 v2
Abstract
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.
Cite
@article{arxiv.1307.1997,
title = {On Quasi-Modular Forms, Almost Holomorphic Modular Forms, and the Vector-Valued Modular Forms of Shimura},
author = {Shaul Zemel},
journal= {arXiv preprint arXiv:1307.1997},
year = {2020}
}
Comments
17 pages, minor corrections