Continued fractions with odd partial quotients

2011/10/24 by Zhabitskaya, Elena
#11J70 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1110.5270

Abstract

Consider the representation of a rational number as a continued fraction, associated with "odd" Euclidean algorithm. In this paper we prove certain properties for the limit distribution function for sequences of rationals with bounded sum of partial quotients

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