Diophantine triples with distinct binary recurrences
-
Published:2022-07-30
Issue:1
Volume:39
Page:255-264
-
ISSN:1584-2851
-
Container-title:Carpathian Journal of Mathematics
-
language:
-
Short-container-title:CJM
Author:
LUCA FLORIAN, ,SZALAY LÁSZLÓ, ,
Abstract
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.
Publisher
Technical University of Cluj Napoca, North University Center of Baia Mare
Subject
General Mathematics