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arXiv · 1002.2053

Continued fractions with minimal remainders

Elena Zhabitskaya
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Abstract

Consider the representation of a rational number in the form, associated with "centered" Euclidean algorithm. We prove a new formula for the limit distribution function for sequences of rationals with bounded sum of partial quotients.

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Elena Zhabitskaya. 2010-03-24. Continued fractions with minimal remainders. https://arxiv.org/abs/1002.2053

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