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arXiv · 1010.4863

On the Metrical Theory of a Generalized Continued Fraction Expansion

Dan Lascu·Katsunori Kawamura
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Abstract

We introduced a new continued fraction expansions in our previous paper. For these expansions, we show formulae of probability about incomplete quotients. Furthermore, we prove the existence of invariant measures with respect to the continued fraction transformations associated with expansions.

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Dan Lascu, Katsunori Kawamura. 2010-10-23. On the Metrical Theory of a Generalized Continued Fraction Expansion. https://arxiv.org/abs/1010.4863

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