Approximation Results for alpha-Rosen Fractions
Number Theory
2009-12-10 v1
Abstract
In this article we generalize Borel's classical approximation results for the regular continued fraction expansion to the alpha-Rosen fraction expansion, using a geometric method. We give a Haas-Series-type result about all possible good approximations for the alpha for which the Legendre constant is larger than the Hurwitz constant.
Cite
@article{arxiv.0912.1749,
title = {Approximation Results for alpha-Rosen Fractions},
author = {Cor Kraaikamp and Ionica Smeets},
journal= {arXiv preprint arXiv:0912.1749},
year = {2009}
}
Comments
31 pages, 11 figures