On the nonnegative integer solutions of the equation <em>F<sub>n</sub> ± F<sub>m</sub> </em> = <em>y<sup>a</sup> </em>

Review

On the nonnegative integer solutions of the equation Fn ± Fm = ya

Published in: Quaestiones Mathematicae
Volume 44 , issue 8 , 2021 , pages: 1133–1139
DOI: 10.2989/16073606.2020.1775155
Author(s): Omar Kihel , Canada , Jesse Larone , Canada
Keywords: 11B39 , 11J86 , 11D61 , 11B39 , 11J86 , 11D61
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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 finite in number, and we provide a bound for them.
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