On the Lucas and Lehmer sequences in Dedekind domains
Number Theory
2025-10-21 v6
Abstract
In this paper, we first obtain the strong divisibility property for the Lucas and Lehmer sequences in Dedekind domains, and then establish analogues of Zsigmondy's theorem and the primitive divisor results for such sequences in function fields.
Keywords
Cite
@article{arxiv.2006.09880,
title = {On the Lucas and Lehmer sequences in Dedekind domains},
author = {Xiumei Li and Giulio Peruginelli and Min Sha},
journal= {arXiv preprint arXiv:2006.09880},
year = {2025}
}
Comments
22 pages