On the exponential Diophantine equation Pxn+Pxn+1=Pm

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F19%3AA20023Q1" target="_blank" >RIV/61988987:17310/19:A20023Q1 - isvavai.cz</a>
Result on the web
<a href="http://journals.tubitak.gov.tr/math/issue.htm?id=4481" target="_blank" >http://journals.tubitak.gov.tr/math/issue.htm?id=4481</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3906/mat-1810-130" target="_blank" >10.3906/mat-1810-130</a>

Result language
angličtina
Original language name
On the exponential Diophantine equation Pxn+Pxn+1=Pm
Original language description
In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables (m, n, x), where P-k is the kth term of the Pell sequence.
Czech name
—
Czech description
—

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

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)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Result description