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On the optimal continued fraction expansion of a quadratic surd

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Matthews, Keith

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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

dc.contributor.authorMatthews, Keith
dc.date.accessioned2015-12-07T22:46:26Z
dc.identifier.issn1446-7887
dc.identifier.urihttp://hdl.handle.net/1885/25778
dc.description.abstractWe 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
dc.publisherAustralian Mathematics Publishing Association
dc.sourceJournal of the Australian Mathematical Society
dc.subjectKeywords: nearest square continued fraction; optimal continued fraction; period length; quadratic surd
dc.titleOn the optimal continued fraction expansion of a quadratic surd
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume93
dc.date.issued2013
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.ariespublicationu4743872xPUB40
local.type.statusPublished Version
local.contributor.affiliationMatthews, Keith, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue1-2
local.bibliographicCitation.startpage133
local.bibliographicCitation.lastpage156
local.identifier.doi10.1017/S1446788712000596
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2016-02-24T11:22:45Z
local.identifier.scopusID2-s2.0-84877291965
CollectionsANU Research Publications

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