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In the literature, there are many identities about Fibonacci and Lucas numbers. In this study, we give three identities concerning Fibonacci and Lucas numbers. Then we present some Diophantine equations such as z2 + x2 + y2 = xyz + 4.
- Fibonacci numbers
- Lucas numbers
- Fibonacci matrix
- Diophantine equation
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Cite this paper
Keskin, R. (2014). Three identities concerning Fibonacci and Lucas numbers. Notes on Number Theory and Discrete Mathematics, 20(5), 44-48.