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On the optimal continued fraction expansion of a quadratic surd

Date

Authors

Matthews, Keith

Publisher

Australian Mathematics Publishing Association

Abstract

We describe the period structure of the optimal continued fraction expansion of a quadratic surd, in terms of the period of its nearest square continued fraction expansion. The analysis results in a faster algorithm for determining the optimal continued f

Keywords

Keywords: nearest square continued fraction; optimal continued fraction; period length; quadratic surd

URI

http://hdl.handle.net/1885/25778

Collections

ANU Research Publications

Source

Journal of the Australian Mathematical Society

Type

Journal article

DOI

10.1017/S1446788712000596

Restricted until

2037-12-31

Downloads

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Description

01_Matthews_On_the_optimal_continued_2013.pdf (87.72 KB)

02_Matthews_On_the_optimal_continued_2013.pdf (234.14 KB)

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