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Solutions of a generalized markoff equation in Fibonacci numbers

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: generalized markoff; markoff equation; fibonacci numbers; solutions generalized; equation

Journal Title: Mathematica Slovaca
Year Published: 2020

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