Some explicit continued fraction expansions

Michel Mendes France; Alfred J. van der Poorten

doi:10.1112/S0025579300006380

Some explicit continued fraction expansions

Michel Mendes France, Alfred J. van der Poorten

Macquarie University Administration Unit

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

8 Citations (Scopus)

Abstract

We determine infinite products in the field of Laurent series with the property that the truncations of the product yield every second continued fraction convergent of the product. We mention some related examples and specialize to obtain numerical results.

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	Mathematika
Volume	38
Issue number	1
DOIs	https://doi.org/10.1112/S0025579300006380
Publication status	Published - 1991

Keywords

approximation
Continued fractions and generalizations
Diophantine
NUMBER THEORY

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10.1112/S0025579300006380

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abstract = "We determine infinite products in the field of Laurent series with the property that the truncations of the product yield every second continued fraction convergent of the product. We mention some related examples and specialize to obtain numerical results.",

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KW - Continued fractions and generalizations

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KW - NUMBER THEORY

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Some explicit continued fraction expansions

Abstract

Keywords

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