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arXiv · 1205.5002

Arithmetic diophantine approximation for continued fractions-like maps on the interval

Avraham Bourla
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Abstract

We establish arithmetical properties and provide essential bounds for bi-sequences of approximation coefficients associated with the natural extension of maps, leading to continued fraction-like expansions. These maps are realized as the fractional part of M$\operatorname{\ddot{o}}$bius transformations which carry the end points of the unit interval to zero and infinity, extending the classical regular and backwards continued fractions expansions.

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Avraham Bourla. 2012-05-22. Arithmetic diophantine approximation for continued fractions-like maps on the interval. https://arxiv.org/abs/1205.5002

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