What is it about?
In this paper, for an integer which is square-free, we show that there is at most one value of the positive integer x participating in the Pell equation x^2-dy^2=+/-1, which is a k–generalized Fibonacci number, with a couple of parametric exceptions which we completely characterize.
Featured Image
Photo by Ira Mint on Unsplash
Why is it important?
Applies Baker's methods
Perspectives
Computations in Mathematica
Dr.rer.nat. M.Sc. Mahadi Ddamulira
Technische Universitat Graz
Read the Original
This page is a summary of: On the x–coordinates of Pell equations which are k–generalized Fibonacci numbers, Journal of Number Theory, February 2020, Elsevier,
DOI: 10.1016/j.jnt.2019.07.006.
You can read the full text:
Contributors
The following have contributed to this page