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Leyendekkers, J. V.1
Shannon, A. G.1
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Leyendekkers, J. V.; Shannon, A. G. – International Journal of Mathematical Education in Science and Technology, 2004
An analysis is made of the role of Fibonacci numbers in some quadratic Diophantine equations. A general solution is obtained for finding factors in sums of Fibonacci numbers. Interpretation of the results is facilitated by the use of a modular ring which also permits extension of the analysis.
Descriptors: Mathematical Concepts, Equations (Mathematics), Numbers, Mathematical Applications