English

On modular forms arising from a differential equation of hypergeometric type

Number Theory 2007-05-23 v2

Abstract

Modular and quasimodular solutions of specific second order differential equation in the upper-half plane which originates from a study of supersingular j-invariants are given explicitly. A characterization of the differential equation is also discussed.

Keywords

Cite

@article{arxiv.math/0206022,
  title  = {On modular forms arising from a differential equation of hypergeometric type},
  author = {Masanobu Kaneko and Masao Koike},
  journal= {arXiv preprint arXiv:math/0206022},
  year   = {2007}
}

Comments

19 pages, no figures