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On the Parity of the Order of Appearance in the Fibonacci Sequence

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50018280" target="_blank" >RIV/62690094:18470/21:50018280 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.mdpi.com/2227-7390/9/16/1928" target="_blank" >https://www.mdpi.com/2227-7390/9/16/1928</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3390/math9161928" target="_blank" >10.3390/math9161928</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the Parity of the Order of Appearance in the Fibonacci Sequence

  • Original language description

    Let (F-n)(n &gt;= 0) be the Fibonacci sequence. The order of appearance function (in the Fibonacci sequence) z : Z(&gt;= 1)-&gt; Z(&gt;= 1) is defined as z(n) := min{k &gt;= 1 : F-k equivalent to 0 (mod n)}. In this paper, among other things, we prove that z(n) is an even number for almost all positive integers n (i.e., the set of such n has natural density equal to 1).

  • 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

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

    Mathematics

  • ISSN

    2227-7390

  • e-ISSN

  • Volume of the periodical

    9

  • Issue of the periodical within the volume

    16

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    8

  • Pages from-to

    "Article Number:1928"

  • UT code for WoS article

    000689428200001

  • EID of the result in the Scopus database

    2-s2.0-85112757255