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 journalArticlepeer-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 languageEnglish
    Pages (from-to)269-282
    Number of pages14
    JournalGlasnik Matematicki
    Volume46
    Issue number2
    DOIs
    Publication statusPublished - 2011

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