New normality constructions for continued fraction expansions
Number Theory
2015-07-03 v1 Dynamical Systems
Abstract
Adler, Keane, and Smorodinsky showed that if one concatenates the finite continued fraction expansions of the sequence of rationals into an infinite continued fraction expansion, then this new number is normal with respect to the continued fraction expansion. We show a variety of new constructions of continued fraction normal numbers, including one generated by the subsequence of rationals with prime numerators and denominators:
Keywords
Cite
@article{arxiv.1507.00390,
title = {New normality constructions for continued fraction expansions},
author = {Joseph Vandehey},
journal= {arXiv preprint arXiv:1507.00390},
year = {2015}
}