ON THE ORDER OF APPEARANCE OF THE DIFFERENCE OF TWO LUCAS NUMBERS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F18%3A50014542" target="_blank" >RIV/62690094:18470/18:50014542 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.18514/MMN.2018.1750" target="_blank" >http://dx.doi.org/10.18514/MMN.2018.1750</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.18514/MMN.2018.1750" target="_blank" >10.18514/MMN.2018.1750</a>
Alternative languages
Result language
angličtina
Original language name
ON THE ORDER OF APPEARANCE OF THE DIFFERENCE OF TWO LUCAS NUMBERS
Original language description
Let F_n be the nth Fibonacci number and let Ln be the nth Lucas number. The order of appearance z(n) of a natural number n is defined as the smallest natural number k such that n divides F_k. For instance, z(L_n)=2n, for all n > 2. In this paper, among other things, we prove that z(L_m-L_n) = 5F_p(m^2 - n^2)/(4p), for all distinct positive integers m equiv n (mod 4), with gcd(m,n) = p > 2 prime.
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
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Miskolc mathematical notes
ISSN
1787-2405
e-ISSN
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Volume of the periodical
19
Issue of the periodical within the volume
1
Country of publishing house
HU - HUNGARY
Number of pages
8
Pages from-to
641-648
UT code for WoS article
000441460300050
EID of the result in the Scopus database
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