Graded rings of modular forms (1)

2020/08/31 by Tomohiko, Suda
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2008.13322

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.

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