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On the equation ∑j=1kjFjp=Fnq
Journal article   Peer reviewed

On the equation ∑j=1kjFjp=Fnq

Alaa Altassan and Florian Luca
Journal of number theory, Vol.217, pp.256-277
12/2020

Abstract

Exponential diophantine equations Fibonacci numbers
In this paper, we show that the title equation, where Fm is the mth Fibonacci number, in positive integers (k,n,p,q) with k>1 entails max⁡{k,n,p,q}≤102500.

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