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

Matthews, Keith; Robertson, John

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

Date

2011

Authors

Matthews, Keith

Robertson, John

Publisher

Glasnik Matematicki

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.