An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F19%3AA2002460" target="_blank" >RIV/61988987:17310/19:A2002460 - isvavai.cz</a>
Result on the web
<a href="http://publikacio.uni-eszterhazy.hu/3591/" target="_blank" >http://publikacio.uni-eszterhazy.hu/3591/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.33039/ami.2019.03.001" target="_blank" >10.33039/ami.2019.03.001</a>
Alternative languages
Result language
angličtina
Original language name
An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers
Original language description
In this paper, we find all solutions of the exponential Diophantine equation B-n+1(x) - B-n(x) = B-m in positive integer variables (m,n,x), where B-k is the k-th term of the Balancing sequence.
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
<a href="/en/project/GA17-02804S" target="_blank" >GA17-02804S: Properties of number sequences and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ANNALES MATHEMATICAE ET INFORMATICAE
ISSN
1787-5021
e-ISSN
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Volume of the periodical
50
Issue of the periodical within the volume
April
Country of publishing house
HU - HUNGARY
Number of pages
11
Pages from-to
167-177
UT code for WoS article
000503370800013
EID of the result in the Scopus database
2-s2.0-85077881471