On the Diophantine equation \boldmath $x²+2^a· 3^b· 11^c=yⁿ$

Rok, strany: 2013, 647 - 659

In this note, we find all the solutions of the Diophantine equation $x²+2^a· 3^b· 11^c=yⁿ$, in nonnegative integers $a,b,c,x,y$, $n≥ 3$ with $x$ and $y$ coprime.

ISO 690:

Cangül, I., Demirci, M., İnam, İ., Luca, F., Soydan, G. 2013. On the Diophantine equation \boldmath $x²+2^a· 3^b· 11^c=yⁿ$. In Mathematica Slovaca, vol. 63, no.3, pp. 647-659. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0125-2

APA:

Cangül, I., Demirci, M., İnam, İ., Luca, F., Soydan, G. (2013). On the Diophantine equation \boldmath $x²+2^a· 3^b· 11^c=yⁿ$. Mathematica Slovaca, 63(3), 647-659. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0125-2