On the $p$-adic zeros of the Tribonacci sequence

Yuri Bilu; Florian Luca; Joris Nieuwveld; Jöel Ouaknine; James Worrell

On the $p$-adic zeros of the Tribonacci sequence

Number Theory 2022-11-01 v1

Authors: Yuri Bilu , Florian Luca , Joris Nieuwveld , Jöel Ouaknine , James Worrell

Abstract

In this paper, we refute some conjectures of Marques and Lengyel concerning the $p$ -adic valuations of members of the Tribonacci sequence.

Cite

@article{arxiv.2210.16959,
  title  = {On the $p$-adic zeros of the Tribonacci sequence},
  author = {Yuri Bilu and Florian Luca and Joris Nieuwveld and Jöel Ouaknine and James Worrell},
  journal= {arXiv preprint arXiv:2210.16959},
  year   = {2022}
}