On the X-coordinates of Pell equations which are Tribonacci numbers
classification
🧮 math.NT
keywords
integerpelltribonaccicharacterizecompletelycoordinatesequationequations
read the original abstract
For an integer $d\geq 2$ which is not a square, we show that there is at most one value of the positive integer $X$ participating in the Pell equation $X^2-dY^2=\pm 1$ which is a Tribonacci number, with a few exceptions that we completely characterize.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.