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Number Theory pp 97–102Cite as

On Modular forms of Weight (6n + 1)/5 Satisfying a Certain Differential Equation

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Part of the book series: Developments in Mathematics ((DEVM,volume 15))

Abstract

We study solutions of a differential equation which arose in our previous study of supersingular elliptic curves. By choosing one fifth of an integer κ as the parameter involved in the differential equation, we obtain modular forms of weight k as solutions. It is observed that this solution is also related to supersingular elliptic curves.

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References

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Author information

Authors and Affiliations

  1. Graduate School of Mathematics 33, Kyushu University, Fukuoka, 812-8581, Japan

    Masanobu Kaneko

Authors
  1. Masanobu Kaneko
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Editor information

Editors and Affiliations

  1. Northwest University, Xi’an, P.R. China

    Wenpeng Zhang

  2. Nagoya University, Nagoya, Japan

    Yoshio Tanigawa

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© 2006 Springer Science + Business Media, Inc.

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Kaneko, M. (2006). On Modular forms of Weight (6n + 1)/5 Satisfying a Certain Differential Equation. In: Zhang, W., Tanigawa, Y. (eds) Number Theory. Developments in Mathematics, vol 15. Springer, Boston, MA. https://doi.org/10.1007/0-387-30829-6_8

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