arXiv Analytics

Sign in

arXiv:1612.09546 [math.NT]AbstractReferencesReviewsResources

On the $X$-coordinates of Pell equations which are Tribonacci numbers

Florian Luca, Amanda Montejano, Laszlo Szalay, Alain Togbé

Published 2016-12-30Version 1

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.

Comments: 10 pages
Categories: math.NT
Subjects: 11A25, 11B39, 11J86
Related articles: Most relevant | Search more
arXiv:1906.06330 [math.NT] (Published 2019-06-13)
On the $x$--coordinates of Pell equations which are products of two Pell numbers
arXiv:1605.03756 [math.NT] (Published 2016-05-12)
On $X$-coordinates of Pell equations which are repdigits
arXiv:1905.11322 [math.NT] (Published 2019-05-27)
On the $x-$coordinates of Pell equations which are sums of two Padovan numbers

Links

Toolbox