Multiplicative dependence in linear recurrence sequences
Number Theory
2026-01-14 v1
Abstract
For a wide class of integer linear recurrence sequences , we give an upper bound on the number of -tuples such that the corresponding elements in the sequence are multiplicatively dependent.
Cite
@article{arxiv.2501.17365,
title = {Multiplicative dependence in linear recurrence sequences},
author = {Attila Bérczes and Lajos Hajdu and Alina Ostafe and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:2501.17365},
year = {2026}
}