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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.
cs.LO2022
Skolem Meets Schanuel
Yuri Bilu, Florian Luca, Joris Nieuwveld +3
The celebrated Skolem-Mahler-Lech Theorem states that the set of zeros of a linear recurrence sequence is the union of a finite set and finitely many arithmetic progressions. The c…