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Diophantine triples with distinct binary recurrences
Journal article   Open access  Peer reviewed

Diophantine triples with distinct binary recurrences

Florian Luca, Laszlo Szalay and "UNIVERSITY OF SOPRON, INSTITUTE OF MATHEMATICS BAJCSY-ZSILINSZKY UTCA 4, H-9400, SOPRON, HUNGARY"
Carpathian Journal of Mathematics, Vol.39(1), pp.255-264
01/01/2023
DOI: https://doi.org/10.37193/CJM.2023.01.17

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we look at Diophantine triples with values in three different binary recurrence sequences. These are the Fibonacci and Pell sequences and the sequence of one more of powers of a given prime p. The novelty of the article is the appearance of three different sequences, as up to now the analogous problem had been investigated only for one sequence.
url
https://doi.org/10.37193/CJM.2023.01.17View
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