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Period-length equality for the nearest integer and nearest square continued fraction expansions of a quadratic surd

Matthews, Keith; Robertson, John

Description

We prove equality of the period-lengths of the nearest integer continued fraction and the nearest square continued fraction, for arbitrary real quadratic irrationals.

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/19488
Source: Glasnik Matematicki
DOI: 10.3336/gm.46.2.01

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