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X-coordinates of Pell equations which are Lucas numbers

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F19%3AA200245H" target="_blank" >RIV/61988987:17310/19:A200245H - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007%2Fs40590-018-0221-y" target="_blank" >https://link.springer.com/article/10.1007%2Fs40590-018-0221-y</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s40590-018-0221-y" target="_blank" >10.1007/s40590-018-0221-y</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    X-coordinates of Pell equations which are Lucas numbers

  • Original language description

    For an integer d >= 2 which is not a square, we show that there is at most one value of the positive integer X participating in the Pell equation X-2 - dY(2) = +/- 1 which is a Lucas number, with a few exceptions that we completely characterize.

  • 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

    <a href="/en/project/GA17-02804S" target="_blank" >GA17-02804S: Properties of number sequences and their applications</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    BOL SOC MAT MEX

  • ISSN

    1405-213X

  • e-ISSN

  • Volume of the periodical

    25

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    13

  • Pages from-to

    481-493

  • UT code for WoS article

    000500987400002

  • EID of the result in the Scopus database

    2-s2.0-85059862492