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

Masanobu Kaneko

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

Masanobu Kaneko

研究成果: 書籍/レポートタイプへの寄稿 › 章

抄録

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.

本文言語	英語
ホスト出版物のタイトル	NUMBER THEORY
編集者	WENPENG ZHANG, YOSHIO TANIGAWA
ページ	97-102
ページ数	6
出版ステータス	出版済み - 2006

出版物シリーズ

名前	Developments in Mathematics
巻	15
ISSN（印刷版）	1389-2177

!!!All Science Journal Classification (ASJC) codes

数学一般

他のファイルとリンク

引用スタイル

@inbook{856de4ac85c94f2ea24c960b78a52208,

title = "On modular forms of weight (6n + l)/5 satisfying a certain differential equation",

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.",

author = "Masanobu Kaneko",

year = "2006",

language = "English",

isbn = "9780387304144",

series = "Developments in Mathematics",

pages = "97--102",

editor = "WENPENG ZHANG and YOSHIO TANIGAWA",

booktitle = "NUMBER THEORY",

}

TY - CHAP

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

AU - Kaneko, Masanobu

PY - 2006

Y1 - 2006

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.

UR - https://www.scopus.com/pages/publications/77954886603

UR - https://www.scopus.com/pages/publications/77954886603#tab=citedBy

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 -

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

抄録

出版物シリーズ

!!!All Science Journal Classification (ASJC) codes

他のファイルとリンク

フィンガープリント

引用スタイル