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arXiv · 1609.07481

Differential equations involving cubic theta functions and Eisenstein series

Kazuhide Matsuda
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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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Kazuhide Matsuda. 2016-09-23. Differential equations involving cubic theta functions and Eisenstein series. https://arxiv.org/abs/1609.07481

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