Equivariant functions and vector-valued modular forms
Number Theory
2013-12-18 v1 High Energy Physics - Theory
Classical Analysis and ODEs
Abstract
For any discrete group and any 2-dimensional complex representation of , we introduce the notion of equivariant functions, and we show that they are parameterized by vector-valued modular forms. We also provide examples arising from the monodromy of differential equations.
Cite
@article{arxiv.1312.2991,
title = {Equivariant functions and vector-valued modular forms},
author = {Hicham Saber and Abdellah Sebbar},
journal= {arXiv preprint arXiv:1312.2991},
year = {2013}
}
Comments
7 pages, Accepted in Int. J. Number Theory