On Fixed Points of Iterations Between the Order of Appearance and the Euler Totient Function
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017299" target="_blank" >RIV/62690094:18470/20:50017299 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2227-7390/8/10/1796" target="_blank" >https://www.mdpi.com/2227-7390/8/10/1796</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math8101796" target="_blank" >10.3390/math8101796</a>
Alternative languages
Result language
angličtina
Original language name
On Fixed Points of Iterations Between the Order of Appearance and the Euler Totient Function
Original language description
Let Fn be the nth Fibonacci number. The order of appearance z(n) of a natural number n is defined as the smallest positive integer k such that Fk equivalent to 0(modn). In this paper, we shall find all positive solutions of the Diophantine equation z(phi(n))=n, where phi is the Euler totient function.
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
S - Specificky vyzkum na vysokych skolach
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
Mathematics
ISSN
2227-7390
e-ISSN
—
Volume of the periodical
8
Issue of the periodical within the volume
10
Country of publishing house
CH - SWITZERLAND
Number of pages
5
Pages from-to
"Article Number: 1796"
UT code for WoS article
000585292100001
EID of the result in the Scopus database
2-s2.0-85093081251