Transcendence with Rosen continued fractions
Number Theory
2010-07-14 v1
Abstract
We give the first transcendence results for the Rosen continued fractions. Introduced over half a century ago, these fractions expand real numbers in terms of certain algebraic numbers.
Keywords
Cite
@article{arxiv.1007.2050,
title = {Transcendence with Rosen continued fractions},
author = {Yann Bugeaud and Pascal Hubert and Thomas A. Schmidt},
journal= {arXiv preprint arXiv:1007.2050},
year = {2010}
}