Diophantine equations connected to the Komornik polynomials
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F20%3AA21020OZ" target="_blank" >RIV/61988987:17310/20:A21020OZ - isvavai.cz</a>
Result on the web
<a href="https://web.math.pmf.unizg.hr/glasnik/vol_55/no1_02.html" target="_blank" >https://web.math.pmf.unizg.hr/glasnik/vol_55/no1_02.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3336/gm.55.1.02" target="_blank" >10.3336/gm.55.1.02</a>
Alternative languages
Result language
angličtina
Original language name
Diophantine equations connected to the Komornik polynomials
Original language description
We investigate the power and polynomial values of the polynomials $P_n(X)=prod_{k=0}^n(X^{2cdot3^k}-X^{3^k}-1)$ for $ninmathbb N$. We prove various ineffective and effective finiteness results. In the case $0le nle 3$, we determine all pairs $x,y$ of integers such that $P_n(x)=y^2$.
Czech name
—
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
—
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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Glasnik Matematički
ISSN
0017-095X
e-ISSN
1846-7989
Volume of the periodical
55
Issue of the periodical within the volume
1
Country of publishing house
HR - CROATIA
Number of pages
15
Pages from-to
13-27
UT code for WoS article
000539645400002
EID of the result in the Scopus database
2-s2.0-85090748378