A variant of Ostrowski numeration
Number Theory
2019-09-13 v2
Abstract
In this article, we propose a variant of the usual Ostrowski -numeration (where is a real in [0, 1[) that codes integers (positive as well as negative) and reals of [0, 1[ (instead of [--, 1--[), so that for every integer n, n and {n} have the same coding sequence. These coding sequences respect natural lexicographic orders and will be used to prove well known results on order properties of Kronecker sequences ({n -- }) n .
Keywords
Cite
@article{arxiv.1904.01874,
title = {A variant of Ostrowski numeration},
author = {Emmanuel Cabanillas},
journal= {arXiv preprint arXiv:1904.01874},
year = {2019}
}