Arithmetics in generalised Cantor base systems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00374082" target="_blank" >RIV/68407700:21340/23:00374082 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1145/3637529.3637539" target="_blank" >https://doi.org/10.1145/3637529.3637539</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1145/3637529.3637539" target="_blank" >10.1145/3637529.3637539</a>

Result language

angličtina

Original language name

Arithmetics in generalised Cantor base systems

Original language description

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 su cient condition of this property. The su cient 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.

Czech name

—

Czech description

—

Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

—

OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

ACM Communications in Computer Algebra

ISSN

1932-2240

e-ISSN

1932-2240

Volume of the periodical

57

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

4

Pages from-to

156-159

UT code for WoS article

001138060400012

EID of the result in the Scopus database

2-s2.0-85179881772