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On the nonnegative integer solutions of the equation Fn _ Fm = y<sup>a</sup>


Omar Kihel
Jesse Larone

Abstract

In this paper, we study the titular Diophantine equation for a fixed positive integer y≥3 in nonnegative integers m, n, and a. We show that the nonnegative integer solutions (n; m; a) are nite in number, and we provide a bound for them.


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eISSN: 1727-933X
print ISSN: 1607-3606