The p-Adic Order of the k-Fibonacci and k-Lucas Numbers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F17%3A50005612" target="_blank" >RIV/62690094:18470/17:50005612 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1134/S2070046617010022" target="_blank" >http://dx.doi.org/10.1134/S2070046617010022</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S2070046617010022" target="_blank" >10.1134/S2070046617010022</a>
Alternative languages
Result language
angličtina
Original language name
The p-Adic Order of the k-Fibonacci and k-Lucas Numbers
Original language description
Let (F{k,n}){n} and (L{k,n}){n} be the k-Fibonacci and k-Lucas sequence, respectively, which satisfies the same recursive relation a_{n+1}=ka_n+a_{n-1} with initial values F_{k,0}=0, F_{k,1}=1, L_{k,0}=2 and L_{k,1}=k. In this paper, we characterize the p-adic orders nu_p(F{k,n}) and nu_p(L_{k,n}) for all primes p and all positive integers k.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS 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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
P-Adic numbers, ultrametric analysis and applications
ISSN
2070-0466
e-ISSN
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Volume of the periodical
9
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
7
Pages from-to
15-21
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85012226125