A number system with base $-\frac32$
Number Theory
2021-02-23 v1
Abstract
In the present paper we explore a way to represent numbers with respect to the base using the set of digits . Although this number system shares several properties with the classical decimal system, it shows remarkable differences and reveals interesting new features. For instance, it is related to the field of -adic numbers, and to some ``fractal'' set that gives rise to a tiling of a non-Euclidean space.
Keywords
Cite
@article{arxiv.2102.11106,
title = {A number system with base $-\frac32$},
author = {Lucía Rossi and Jörg M. Thuswaldner},
journal= {arXiv preprint arXiv:2102.11106},
year = {2021}
}
Comments
A substantially extended version of this article has been accepted for publication in The American Mathematical Monthly, published by Taylor & Francis