Absolutely abnormal, continued fraction normal numbers
Number Theory
2015-12-02 v1
Abstract
In this short note, we give a proof, conditional on the Generalized Riemann Hypothesis, that there exist numbers x which are normal with respect to the continued fraction expansion but not to any base b expansion. This partially answers a question of Bugeaud.
Cite
@article{arxiv.1512.00337,
title = {Absolutely abnormal, continued fraction normal numbers},
author = {Joseph Vandehey},
journal= {arXiv preprint arXiv:1512.00337},
year = {2015}
}