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Midpoint criteria for solving Pell’s equation using the nearest square continued fraction

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dc.contributor.authorMatthews, Keith
dc.contributor.authorRobertson, John
dc.contributor.authorWhite, Jim
dc.date.accessioned2015-12-22T02:22:07Z
dc.date.available2015-12-22T02:22:07Z
dc.date.issued2010-01
dc.date.updated2016-02-24T08:14:57Z
dc.description.abstractWe derive midpoint criteria for solving Pell’s equation x2 −Dy2 = ±1, using the nearest square continued fraction expansion of √D. The period of the expansion is on average 70% that of the regular continued fraction.
dc.identifier.issn0025-5718en_AU
dc.identifier.urihttp://hdl.handle.net/1885/95164
dc.publisherAmerican Mathematical Society
dc.rights© 2009 American Mathematical Society
dc.sourceMathematics of Computation
dc.subjectKeywords: Nearest square continued fraction; Pell's equation
dc.titleMidpoint criteria for solving Pell’s equation using the nearest square continued fraction
dc.typeJournal article
local.bibliographicCitation.issue269en_AU
local.bibliographicCitation.lastpage499en_AU
local.bibliographicCitation.startpage485en_AU
local.contributor.affiliationMatthews, Keith, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.affiliationRobertson, John, National Council on Compensation Insurance (USA), United States of Americaen_AU
local.contributor.affiliationWhite, Jim, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.authoruida176508en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010302en_AU
local.identifier.ariespublicationf2965xPUB1535en_AU
local.identifier.citationvolume79en_AU
local.identifier.doi10.1090/S0025-5718-09-02286-8en_AU
local.identifier.scopusID2-s2.0-77952807032
local.publisher.urlhttp://www.ams.org/journals/en_AU
local.type.statusPublished Versionen_AU

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