Twisted rational zeros of linear recurrence sequences
Number Theory
2024-01-15 v1
Abstract
We introduce the notion of a twisted rational zero of a non-degenerate linear recurrence sequence (LRS). We show that any non-degenerate LRS has only finitely many such twisted rational zeros. In the particular case of the Tribonacci sequence, we show that and are the only twisted rational zeros which are not integral zeros.
Cite
@article{arxiv.2401.06537,
title = {Twisted rational zeros of linear recurrence sequences},
author = {Yuri Bilu and Florian Luca and Joris Nieuwveld and Joël Ouaknine and James Worrell},
journal= {arXiv preprint arXiv:2401.06537},
year = {2024}
}
Comments
30 pages