Integers represented by Lucas sequences
Number Theory
2024-08-12 v1
Abstract
In this paper we study the sets of integers which are -th terms of Lucas sequences. We establish lower- and upper bounds for the size of these sets. These bounds are sharp for sufficiently large. We also develop bounds on the growth order of the terms of Lucas sequences that are independent of the parameters of the sequence, which is a new feature.
Cite
@article{arxiv.2408.04982,
title = {Integers represented by Lucas sequences},
author = {L. Hajdu and R. Tijdeman},
journal= {arXiv preprint arXiv:2408.04982},
year = {2024}
}