Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

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

Simple item page
dc.contributor.authorMatthews, Keith
dc.contributor.authorRobertson, John
dc.date.accessioned2015-12-07T22:19:44Z
dc.date.issued2011
dc.date.updated2016-02-24T11:17:23Z
dc.description.abstractWe prove equality of the period-lengths of the nearest integer continued fraction and the nearest square continued fraction, for arbitrary real quadratic irrationals.
dc.identifier.issn0017-095X
dc.identifier.urihttp://hdl.handle.net/1885/19488
dc.publisherGlasnik Matematicki
dc.sourceGlasnik Matematicki
dc.subjectKeywords: Nearest integer continued fraction; Nearest square continued fraction; Period-length; Reduced quadratic irrational
dc.titlePeriod-length equality for the nearest integer and nearest square continued fraction expansions of a quadratic surd
dc.typeJournal article
local.bibliographicCitation.issue2
local.bibliographicCitation.lastpage282
local.bibliographicCitation.startpage269
local.contributor.affiliationMatthews, Keith, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRobertson, John, National Council on Compensation Insurance (USA)
local.contributor.authoruidMatthews, Keith, a176508
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationu4685828xPUB8
local.identifier.citationvolume46
local.identifier.doi10.3336/gm.46.2.01
local.identifier.scopusID2-s2.0-84857838818
local.type.statusPublished Version

Downloads

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
01_Matthews_Period-length_equality_for_the_2011.pdf
Size:
4.2 MB
Format:
Adobe Portable Document Format
Download

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS