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On The Diophantine equations $x2+2α 3β 19γ=yn$ and $x2+2α 3β 13γ=yn$

In: Mathematica Slovaca, vol. 69, no. 3
Amir Ghadermarzi
Detaily:
Rok, strany: 2019, 507 - 520
Kľúčové slová:
Diophantine equation, Ramanujan-Nagell equation, primitive divisors of Lucas sequences
O článku:
In this note we find all the solutions to the equation $x2+2α 3β 19γ=yn$ in nonnegative unknowns with $n ≥ 3$ and $\gcd(x,y)=1$, and nonnegative solutions to $x2+2α 3β 13γ=yn$ with $n ≥ 3$, $\gcd(x,y)=1$, except when $α=0$ and $x. β. γ $ is odd.
Ako citovať:
ISO 690:
Ghadermarzi, A. 2019. On The Diophantine equations $x2+2α 3β 19γ=yn$ and $x2+2α 3β 13γ=yn$. In Mathematica Slovaca, vol. 69, no.3, pp. 507-520. 0139-9918. DOI: https://doi.org/DOI: 10.1515/ms-2017-0243

APA:
Ghadermarzi, A. (2019). On The Diophantine equations $x2+2α 3β 19γ=yn$ and $x2+2α 3β 13γ=yn$. Mathematica Slovaca, 69(3), 507-520. 0139-9918. DOI: https://doi.org/DOI: 10.1515/ms-2017-0243
O vydaní:
Publikované: 21. 5. 2019