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Journal article
Peer reviewed
On the equation ∑j=1kjFjp=Fnq
Alaa Altassan
and
Florian Luca
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Journal of number theory, Vol.217, pp.256-277
12/2020
DOI:
https://doi.org/10.1016/j.jnt.2020.05.005
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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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Title
On the equation ∑j=1kjFjp=Fnq
Creators - without role
Alaa Altassan - King Abdulaziz University
Florian Luca - King Abdulaziz University
Publication Details
Journal of number theory, Vol.217, pp.256-277
Publisher
Elsevier Inc
Identifiers
9937639208331
Academic Unit
King Abdulaziz University
Language
English
Resource Type
Journal article
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