On a Diophantine equation involving powers of Fibonacci numbers

This paper deals with the diophantine equation F-1(p) + 2F(2)(p )+ . . . + kF(k)(p) = F-n(q), an equation on the weighted power terms of Fibonacci sequence. For the exponents p, q is an element of {1, 2} the problem has already been solved in ad hoc ways using the properties of the summatory identit...

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Bibliographic Details
Main Authors: Gueth Krisztián, Florian Luca (Author), Szalay László (Author)
Format: Article
Published: 2020
Series:PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 96 No. 4
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Online Access:http://publicatio.uni-sopron.hu/1946
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