Continued fractions with minimal remainders
Number Theory
2011-10-25 v2
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.
Cite
@article{arxiv.1002.2053,
title = {Continued fractions with minimal remainders},
author = {Elena Zhabitskaya},
journal= {arXiv preprint arXiv:1002.2053},
year = {2011}
}