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

Research output: Chapter in Book/Report/Conference proceedingChapter

12 Citations (Scopus)

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 languageEnglish
Title of host publicationNUMBER THEORY
EditorsWENPENG ZHANG, YOSHIO TANIGAWA
Pages97-102
Number of pages6
Publication statusPublished - Dec 1 2006

Publication series

NameDevelopments in Mathematics
Volume15
ISSN (Print)1389-2177

Fingerprint

Modular Forms
Elliptic Curves
Differential equation
Integer

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Kaneko, M. (2006). On modular forms of weight (6n + l)/5 satisfying a certain differential equation. In WENPENG. ZHANG, & YOSHIO. TANIGAWA (Eds.), 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.

NUMBER THEORY. ed. / WENPENG ZHANG; YOSHIO TANIGAWA. 2006. p. 97-102 (Developments in Mathematics; Vol. 15).

Research output: Chapter in Book/Report/Conference proceedingChapter

Kaneko, M 2006, On modular forms of weight (6n + l)/5 satisfying a certain differential equation. in WENPENG ZHANG & YOSHIO TANIGAWA (eds), NUMBER THEORY. Developments in Mathematics, vol. 15, pp. 97-102.
Kaneko M. On modular forms of weight (6n + l)/5 satisfying a certain differential equation. In ZHANG WENPENG, TANIGAWA YOSHIO, editors, NUMBER THEORY. 2006. p. 97-102. (Developments in Mathematics).
Kaneko, Masanobu. / On modular forms of weight (6n + l)/5 satisfying a certain differential equation. NUMBER THEORY. editor / WENPENG ZHANG ; YOSHIO TANIGAWA. 2006. pp. 97-102 (Developments in Mathematics).
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