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Erdos' method for determining the irrationality of products

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F11%3AA120107P" target="_blank" >RIV/61988987:17610/11:A120107P - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Erdos' method for determining the irrationality of products

  • Original language description

    This paper deals with a sufficient condition for the infinite product of rational numbers to be an irrational number. The condition requires only some conditions for convergence and does not use other properties like divisibility. The proof is based on an idea of ErdH os.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/ME09017" target="_blank" >ME09017: Diophantine approximation of infinite sequences</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    B AUST MATH SOC

  • ISSN

    0004-9727

  • e-ISSN

  • Volume of the periodical

    84

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    AU - AUSTRALIA

  • Number of pages

    11

  • Pages from-to

    414-424

  • UT code for WoS article

  • EID of the result in the Scopus database