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Solutions of a generalized Markoff equation in Fibonacci numbers

In: Mathematica Slovaca, vol. 70, no. 5
Hayder Raheem Hashim - Szabolcs Tengely
Detaily:
Rok, strany: 2020, 1069 - 1078
Kľúčové slová:
Lucas sequences, Diophantine equations, Markoff equation
O článku:
In this paper, we find all the solutions $(X,Y,Z)=(FI, FJ, FK)$, where $FI, FJ$, and $FK$ represent nonzero Fibonacci numbers, satisfying a generalization of Markoff equation called the Jin-Schmidt equation: $AX2 + BY2 +CZ2 = DXYZ+1$.
Ako citovať:
ISO 690:
Hashim, H., Tengely, S. 2020. Solutions of a generalized Markoff equation in Fibonacci numbers. In Mathematica Slovaca, vol. 70, no.5, pp. 1069-1078. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0414

APA:
Hashim, H., Tengely, S. (2020). Solutions of a generalized Markoff equation in Fibonacci numbers. Mathematica Slovaca, 70(5), 1069-1078. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0414
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 27. 9. 2020