Arithmetics in number systems with cubic base

This paper focuses on greedy expansions, one possible representation of numbers, and on arithmetical operations with them. Performing addition or multiplication some additional digits can appear. We study bounds on the number of such digits assuming the finiteness of the expansion of the considered...

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Bibliographic Details
Published in:arXiv.org 2019-07
Main Author: Tinková, Magdaléna
Format: Article
Language:English
Subjects:
Digits
Multiplication
Number systems
Online Access:Get full text
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Description
Summary:This paper focuses on greedy expansions, one possible representation of numbers, and on arithmetical operations with them. Performing addition or multiplication some additional digits can appear. We study bounds on the number of such digits assuming the finiteness of the expansion of the considered sum or product, especially for the case of cubic Pisot units.
ISSN:2331-8422
DOI:10.48550/arxiv.1807.03050