English

Continued fractions with odd partial quotients

Number Theory 2011-10-25 v1

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

Keywords

Cite

@article{arxiv.1110.5270,
  title  = {Continued fractions with odd partial quotients},
  author = {Elena Zhabitskaya},
  journal= {arXiv preprint arXiv:1110.5270},
  year   = {2011}
}
R2 v1 2026-06-21T19:24:48.159Z