English

Fuchsian differential equations with modular forms

Classical Analysis and ODEs 2020-04-13 v1

Abstract

The aim of this paper is to derive new results about Jacobi's inversion formulas for modular forms of levels 5 and 6. For this purpose, we use Farkas and Kra's theory of theta functions with rational characteristics.

Keywords

Cite

@article{arxiv.2004.05152,
  title  = {Fuchsian differential equations with modular forms},
  author = {Kazuhide Matsuda},
  journal= {arXiv preprint arXiv:2004.05152},
  year   = {2020}
}