Graded rings of modular forms (1)
Number Theory
2020-09-01 v1
Abstract
We study modular forms of some congruence subgroups. In this paper, we treat the cases level is 2-power, 3-power or 5. Structures of graded rings and many identities of infinite sum or infinite product are given. Theory of rational (1/3, 1/4, 1/5 etc) weight or more formally weight modular form are introduced.
Cite
@article{arxiv.2008.13322,
title = {Graded rings of modular forms (1)},
author = {Suda Tomohiko},
journal= {arXiv preprint arXiv:2008.13322},
year = {2020}
}
Comments
Keywords: Modular form, Rational weight, Graded ring