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Arithmetics in number systems with cubic base

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10377934" target="_blank" >RIV/00216208:11320/18:10377934 - isvavai.cz</a>

  • Result on the web

    <a href="http://alant.math.us.edu.pl/" target="_blank" >http://alant.math.us.edu.pl/</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Arithmetics in number systems with cubic base

  • Original language description

    Using a base and a finite set of digits, we can express real or complex numbers in many different ways. One possibility, the so-called greedy expansions, was introduced by A. R&apos;enyi in 1957. The main advantage of this approach is the fact that they conserve the order of real numbers. However, if we add or multiply the numbers with a finite greedy expansion, i.e., ended with infinetely many zeros, there can appear some additional digits at the end of our expansions. In this talk, we will focus on the length of this extension, especially for the case of cubic bases.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2018

  • Confidentiality

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