The Ramanujan-Serre differential operators and certain elliptic curves

DOI10.1090/S0002-9939-2013-11917-9zbMath1325.11035arXiv1201.1685MaRDI QIDQ2845418

Yuichi Sakai, Masanobu Kaneko

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.1685

zbMATH Keywords

eta-quotientsmodular parametrizationRamanujan-Serre differential operator

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

• Zeta-functions of elliptic curves of 2-power conductor
• Eta-quotients and elliptic curves
• The Ramanujan differential operator, a certain CM elliptic curve and Kummer congruences

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