Affiliation:
1. Department of Mathematics, FNSPE, Czech Technical University in Prague, Prague, Czech Republic
Abstract
For alternate Cantor real base numeration systems we generalise the result of Frougny and Solomyak on arithmetics on the set of numbers with finite expansions. We generalise the notion of finiteness property, denoted (
F
). We also provide several necessary conditions, and comment on a sufficient condition of this property. The sufficient condition allows us to find a set of generalised Cantor bases with Property (
F
). The used construction also provides a method for performing addition of finite expansions in Cantor real bases.
Publisher
Association for Computing Machinery (ACM)
Subject
Microbiology (medical),Immunology,Immunology and Allergy
Reference6 articles.
1. Arithmetics on number systems with irrational bases;Ambrož Petr;Bulletin of the Belgian Mathematical Society,2003
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5. Zuzana Masáková Edita Pelantová and Katarína Studeničová. Rewriting rules for arithmetics in alternate base systems. ArXiv:2302.10708 Zuzana Masáková Edita Pelantová and Katarína Studeničová. Rewriting rules for arithmetics in alternate base systems. ArXiv:2302.10708