### 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 k 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.

Original language | English |
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Title of host publication | NUMBER THEORY |

Editors | WENPENG ZHANG, YOSHIO TANIGAWA |

Pages | 97-102 |

Number of pages | 6 |

Publication status | Published - Dec 1 2006 |

### Publication series

Name | Developments in Mathematics |
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Volume | 15 |

ISSN (Print) | 1389-2177 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*NUMBER THEORY*(pp. 97-102). (Developments in Mathematics; Vol. 15).

**On modular forms of weight (6n + l)/5 satisfying a certain differential equation.** / Kaneko, Masanobu.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*NUMBER THEORY.*Developments in Mathematics, vol. 15, pp. 97-102.

}

TY - CHAP

T1 - On modular forms of weight (6n + l)/5 satisfying a certain differential equation

AU - Kaneko, Masanobu

PY - 2006/12/1

Y1 - 2006/12/1

N2 - We study solutions of a differential equation which arose in our previous study of supersingular elliptic curves. By choosing one fifth of an integer k 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.

AB - We study solutions of a differential equation which arose in our previous study of supersingular elliptic curves. By choosing one fifth of an integer k 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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UR - http://www.scopus.com/inward/citedby.url?scp=77954886603&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:77954886603

SN - 9780387304144

T3 - Developments in Mathematics

SP - 97

EP - 102

BT - NUMBER THEORY

A2 - ZHANG, WENPENG

A2 - TANIGAWA, YOSHIO

ER -