The Ramanujan-serre differential operators and certain elliptic curves

Masanobu Kaneko; Yuichi Sakai

doi:10.1090/S0002-9939-2013-11917-9

The Ramanujan-serre differential operators and certain elliptic curves

Masanobu Kaneko, Yuichi Sakai

Research output: Contribution to journal › Article › peer-review

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Abstract

For several congruence subgroups of low levels and their conjugates, we derive differential equations satisfied by the Eisenstein series of weight 4 and relate them to elliptic curves whose associated newforms of weight 2 constitute the list of Martin and Ono of newforms given by etaproducts/ quotients.

Original language	English
Pages (from-to)	3421-3429
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-2013-11917-9
Publication status	Published - 2013

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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abstract = "For several congruence subgroups of low levels and their conjugates, we derive differential equations satisfied by the Eisenstein series of weight 4 and relate them to elliptic curves whose associated newforms of weight 2 constitute the list of Martin and Ono of newforms given by etaproducts/ quotients.",

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The Ramanujan-serre differential operators and certain elliptic curves

Abstract

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