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math.NT2024
Twisted rational zeros of linear recurrence sequences
Yuri Bilu, Florian Luca, Joris Nieuwveld +2
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 rat…
math.NT2022
On the -adic zeros of the Tribonacci sequence
Yuri Bilu, Florian Luca, Joris Nieuwveld +2
In this paper, we refute some conjectures of Marques and Lengyel concerning the -adic valuations of members of the Tribonacci sequence.
math.NT2021
Fractions, Functions and Folding. A Novel Link between Continued Fractions, Mahler Functions and Paper Folding
Joris Nieuwveld
Repeatedly folding a strip of paper in half and unfolding it in straight angles produces a fractal: the dragon curve. Shallit, van der Poorten and others showed that the sequence o…