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On the Arithmetic Behavior of Liouville Numbers Under Rational Maps

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50017295" target="_blank" >RIV/62690094:18470/21:50017295 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007/s00574-020-00232-7" target="_blank" >https://link.springer.com/article/10.1007/s00574-020-00232-7</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00574-020-00232-7" target="_blank" >10.1007/s00574-020-00232-7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the Arithmetic Behavior of Liouville Numbers Under Rational Maps

  • Original language description

    In 1972, Alniacik proved that every strong Liouville number is mapped into the set of U-m-numbers, for any non-constant rational function with coefficients belonging to an m-degree number field. In this paper, we generalize this result by providing a larger class of Liouville numbers (which, in particular, contains the strong Liouville numbers) with this same property (this set is sharp is a certain sense).

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Bulletin of the Brazilian Mathematical Society, New Series

  • ISSN

    1678-7544

  • e-ISSN

  • Volume of the periodical

    52

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    11

  • Pages from-to

    803-813

  • UT code for WoS article

    000585786700001

  • EID of the result in the Scopus database

    2-s2.0-85095426747