Open Access
May 2010 On the distribution of congruent numbers
Jennifer Ann Johnstone, Blair Kenneth Spearman
Proc. Japan Acad. Ser. A Math. Sci. 86(5): 89-90 (May 2010). DOI: 10.3792/pjaa.86.89

Abstract

For an integer $m>1$, it is shown that each congruence class modulo $m$ contains infinitely many congruent numbers whose associated elliptic curves have rank at least two.

Citation

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Jennifer Ann Johnstone. Blair Kenneth Spearman. "On the distribution of congruent numbers." Proc. Japan Acad. Ser. A Math. Sci. 86 (5) 89 - 90, May 2010. https://doi.org/10.3792/pjaa.86.89

Information

Published: May 2010
First available in Project Euclid: 26 April 2010

zbMATH: 1228.11083
MathSciNet: MR2662612
Digital Object Identifier: 10.3792/pjaa.86.89

Subjects:
Primary: 11G05

Keywords: congruent numbers , Elliptic curve , ‎rank‎

Rights: Copyright © 2010 The Japan Academy

Vol.86 • No. 5 • May 2010
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