Some problems related to the growth of z(n)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50016870" target="_blank" >RIV/62690094:18470/20:50016870 - isvavai.cz</a>
Result on the web
<a href="https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-020-02735-5" target="_blank" >https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-020-02735-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/s13662-020-02735-5" target="_blank" >10.1186/s13662-020-02735-5</a>
Alternative languages
Result language
angličtina
Original language name
Some problems related to the growth of z(n)
Original language description
Let (Fn)n >= 0 be the Fibonacci sequence. The order of appearance z(n) of a positive integer n is defined as z(n):=min{k >= 1:n divide Fk}. In 2013, Marques proved that lim infn ->infinity z(n)/n=0. Let epsilon be a positive real number. In this paper, in particular, we generalized this Marques' result by proving that almost all positive integers satisfy z(n)/n < epsilon.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in difference equations
ISSN
1687-1847
e-ISSN
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Volume of the periodical
2020
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
"Article Number: 270"
UT code for WoS article
000540587200005
EID of the result in the Scopus database
2-s2.0-85086005324