Local spacings along curves
type: Item
instance of: scholarly article
title: Local spacings along curves
zbMATH Open document ID: 1111.11007
author: Emre Alkan
author: Maosheng Xiong
author: Alexandru Zaharescu
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-02-26T00:00:00Z
review text: The authors study how the spacing distribution function deforms via smooth maps between curves. As an example, they give explicit formulas for the nearest neighbor spacing distribution function of torsion points on elliptic curves over \(R\). The distribution coincides locally with the distribution of Farey fractions. Furthermore, the nearest neighbor spacing distribution function of rational points on the unit circle is explicitly determined.
reviewed by: Yukio Ohkubo
Mathematics Subject Classification ID: 11B05
Mathematics Subject Classification ID: 11K99
zbMATH DE Number: 5129680
zbMATH Keywords: distribution along curves
zbMATH Keywords: local spacings
zbMATH Keywords: elliptic curves
zbMATH Keywords: torsion points
zbMATH Keywords: rational points
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.07.016
OpenAlex ID: W2002429815
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DOI: 10.1016/J.JMAA.2006.07.016
description: scientific article; zbMATH DE number 5129680