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On the optimal continued fraction expansion of a quadratic surd

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Matthews, Keith

Description

We describe the period structure of the optimal continued fraction expansion of a quadratic surd, in terms of the period of its nearest square continued fraction expansion. The analysis results in a faster algorithm for determining the optimal continued f

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
URI: http://hdl.handle.net/1885/25778
Source: Journal of the Australian Mathematical Society
DOI: 10.1017/S1446788712000596

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