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 1/3 and -5/3 are the only twisted rational zeros which are not integral zeros.
Submitted, 2023. 30 pages.
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© 2023 Yuri Bilu, Florian Luca, Joris Nieuwveld, Joël
Ouaknine, and James Worrell.