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 >= 0) be the Fibonacci sequence. The order of appearance function (in the Fibonacci sequence) z : Z(>= 1)-> Z(>= 1) is defined as z(n) := min{k >= 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
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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
—
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
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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