Quadratic irrational integers with partly prescribed continued fraction expansion

Alfred J. Van Der Poorten

Quadratic irrational integers with partly prescribed continued fraction expansion

Alfred J. Van Der Poorten^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We generalise remarks of Euler and of Perron by explaining how to detail all quadratic integers for which the symmetric part of their continued fraction expansion commences with prescribed partial quotients.

Original language	English
Pages (from-to)	481-496
Number of pages	16
Journal	Publicationes Mathematicae
Volume	65
Issue number	3-4
Publication status	Published - 2004

Keywords

Function field
Periodic continued fraction

Cite this

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title = "Quadratic irrational integers with partly prescribed continued fraction expansion",

abstract = "We generalise remarks of Euler and of Perron by explaining how to detail all quadratic integers for which the symmetric part of their continued fraction expansion commences with prescribed partial quotients.",

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KW - Periodic continued fraction

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JO - Publicationes Mathematicae

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Quadratic irrational integers with partly prescribed continued fraction expansion

Abstract

Keywords

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