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

Matthews, Keith R. and Robertson, John P. (2011) Period-length equality for the nearest integer and nearest square continued fraction expansions of a quadratic surd. Glasnik Matematicki, 46 2: 269-282. doi:10.3336/gm.46.2.01

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Author Matthews, Keith R.
Robertson, John P.
Title Period-length equality for the nearest integer and nearest square continued fraction expansions of a quadratic surd
Journal name Glasnik Matematicki   Check publisher's open access policy
ISSN 0017-095X
Publication date 2011-12-01
Sub-type Article (original research)
DOI 10.3336/gm.46.2.01
Volume 46
Issue 2
Start page 269
End page 282
Total pages 14
Place of publication Osijek, Croatia
Publisher Hrvatsko Matematicko Drustvo
Language eng
Formatted abstract
We prove equality of the period-lengths of the nearest integer continued fraction and the nearest square continued fraction, for arbitrary real quadratic irrationals.
Keyword Nearest square continued fraction
Nearest integer continued fraction
Period-length
Reduced quadratic irrational
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2012 Collection
 
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