Folded continued fractions

A. J. van der Poorten; J. Shallit

doi:10.1016/0022-314X(92)90042-N

Folded continued fractions

A. J. van der Poorten^*, J. Shallit

^*Corresponding author for this work

Macquarie University Administration Unit

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

54 Citations (Scopus)

Abstract

We exhibit uncountably many binary decimals together with their explicit continued fraction expansions. These expansions require only the partial quotients 1 or 2. The pattern of valleys and ridges in a sheet of paper repeatedly folded in half plays a critical role in our construction.

Original language	English
Pages (from-to)	237-250
Number of pages	14
Journal	Journal of Number Theory
Volume	40
Issue number	2
DOIs	https://doi.org/10.1016/0022-314X(92)90042-N
Publication status	Published - 1992

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title = "Folded continued fractions",

abstract = "We exhibit uncountably many binary decimals together with their explicit continued fraction expansions. These expansions require only the partial quotients 1 or 2. The pattern of valleys and ridges in a sheet of paper repeatedly folded in half plays a critical role in our construction.",

author = "\{van der Poorten\}, \{A. J.\} and J. Shallit",

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AU - Shallit, J.

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AB - We exhibit uncountably many binary decimals together with their explicit continued fraction expansions. These expansions require only the partial quotients 1 or 2. The pattern of valleys and ridges in a sheet of paper repeatedly folded in half plays a critical role in our construction.

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DO - 10.1016/0022-314X(92)90042-N

M3 - Article

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SN - 0022-314X

VL - 40

SP - 237

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JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 2

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Folded continued fractions

Abstract

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