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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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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
Mathematics, Computing and Technology
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Item ID: 30463
Depositing User: Ian Short
Date Deposited: 16 Jan 2012 10:23
Last Modified: 26 Feb 2016 13:26
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