Shimura's Vector-Valued Modular Forms, Weight Changing Operators, and Laplacians
Number Theory
2020-08-13 v2
Abstract
We investigate the various types of weight raising and weight lowering operators on quasi-modular forms, or equivalently on Shimura's vector-valued modular forms involving symmetric power representations. We also present all the eigenfunctions of the two possible Laplacian operators.
Keywords
Cite
@article{arxiv.1606.07966,
title = {Shimura's Vector-Valued Modular Forms, Weight Changing Operators, and Laplacians},
author = {Shaul Zemel},
journal= {arXiv preprint arXiv:1606.07966},
year = {2020}
}
Comments
58 pages, corrected a significant mistake and established the full result about the eigenfunctions