A Gauss-Kusmin theorem for optimal continued fractions

Publication date

1996-01-01

Authors

Dajani, K.
Kraaikamp, C.

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Preprint
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Abstract

One of the first – and still one of the most important – results in the metrical theory of continued fractions is the so-called Gauss-Kusmin theorem. Let – and let – be the regular continued fraction (RCF) expansion of – then it was observed by Gauss in 1800 that -

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