Three identities concerning Fibonacci and Lucas numbers

Refik Keskin
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 20, 2014, Number 5, Pages 44–48
Full paper (PDF, 140 Kb)

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Authors and affiliations

Refik Keskin
Department of Mathematics, Faculty of Arts and Science
Sakarya University, Turkey

Abstract

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.

Keywords

• Fibonacci numbers
• Lucas numbers
• Fibonacci matrix
• Diophantine equation

AMS Classification

• 11B37
• 11B39
• 40C05

References

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