Arithmetic diophantine approximation for continued fractions-like maps on the interval
Number Theory
2012-11-22 v6 Dynamical Systems
Abstract
We establish arithmetical properties and provide essential bounds for bi-sequences of approximation coefficients associated with the natural extension of maps, leading to continued fraction-like expansions. These maps are realized as the fractional part of Mbius transformations which carry the end points of the unit interval to zero and infinity, extending the classical regular and backwards continued fractions expansions.
Cite
@article{arxiv.1205.5002,
title = {Arithmetic diophantine approximation for continued fractions-like maps on the interval},
author = {Avraham Bourla},
journal= {arXiv preprint arXiv:1205.5002},
year = {2012}
}
Comments
arXiv admin note: text overlap with arXiv:1111.0597