Differential equations involving cubic theta functions and Eisenstein series

2016/09/23 by Matsuda, Kazuhide
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1609.07481

Abstract

In this paper, we derive systems of ordinary differential equations (ODEs) satisfied by modular forms of level three, which are level three versions of Ramanujan's system of ODEs satisfied by the classical Eisenstein series.

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