Continued fractions with minimal remainders

zbMATH Open1313.11081arXiv1002.2053MaRDI QIDQ3083198

Elena Zhabitskaya

Publication date: 18 March 2011

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.

Full work available at URL: https://arxiv.org/abs/1002.2053

zbMATH Keywords

distribution functioncentered Euclidean algorithmcontinued fractions with minimal remainderrational numbers with bounded sum of partial fractionssum of partial quotients

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70)

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