Carlitz’s Equations on Generalized Fibonacci Numbers

Carlitz’s Equations on Generalized Fibonacci Numbers

Carlitz solved some Diophantine equations on Fibonacci or Lucas numbers. We extend his results to the sequence of generalized Fibonacci and Lucas numbers. In this paper, we solve the Diophantine equations of the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"...

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Bibliographic Details
Main Authors: Min Wang, Peng Yang, Yining Yang
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Symmetry
Subjects:
Fibonacci numbers
Lucas numbers
Diophantine equation
Online Access:https://www.mdpi.com/2073-8994/14/4/764

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