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Geodesic continued fractions

Beardon, A. F.; Hockman, M. and Short, I. (2012). Geodesic continued fractions. Michigan Mathematical Journal, 61(1) pp. 133–150.

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DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1307/mmj/1331222851
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Abstract

There are infinitely many ways to express a rational number as a finite continued fraction with numerators 1 and integer denominators. We study the shortest continued fraction expansions for a given rational by interpreting these as geodesic paths in the Farey graph.

Item Type: Journal Article
Copyright Holders: 2012 The University of Michigan
ISSN: 0026-2285
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Related URLs:
Item ID: 30463
Depositing User: Ian Short
Date Deposited: 16 Jan 2012 10:23
Last Modified: 03 Dec 2012 14:28
URI: http://oro.open.ac.uk/id/eprint/30463
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