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

Keith R. Matthews; John P. Robertson

doi:10.3336/gm.46.2.01

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

Keith R. Matthews^*, John P. Robertson

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	269-282
Number of pages	14
Journal	Glasnik Matematicki
Volume	46
Issue number	2
DOIs	https://doi.org/10.3336/gm.46.2.01
Publication status	Published - 2011

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

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.",

keywords = "Nearest integer continued fraction, Nearest square continued fraction, Period-length, Reduced quadratic irrational",

author = "Matthews, \{Keith R.\} and Robertson, \{John P.\}",

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AU - Robertson, John P.

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

KW - Nearest integer continued fraction

KW - Nearest square continued fraction

KW - Period-length

KW - Reduced quadratic irrational

UR - https://www.scopus.com/pages/publications/84857838818

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DO - 10.3336/gm.46.2.01

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EP - 282

JO - Glasnik Matematicki

JF - Glasnik Matematicki

IS - 2

ER -

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

Abstract

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