On the Normality of Numbers to Different Bases
Number Theory
2017-05-17 v1
Abstract
We prove independence of normality to different bases We show that the set of real numbers that are normal to some base is Sigma^0_4 complete in the Borel hierarchy of subsets of real numbers. This was an open problem, initiated by Alexander Kechris, and conjectured by Ditzen 20 years ago.
Keywords
Cite
@article{arxiv.1311.0333,
title = {On the Normality of Numbers to Different Bases},
author = {Verónica Becher and Theodore A. Slaman},
journal= {arXiv preprint arXiv:1311.0333},
year = {2017}
}