Effective results on the Skolem Problem for linear recurrence sequences
Number Theory
2018-10-03 v6
Abstract
In this paper, given a simple linear recurrence sequence of algebraic numbers, which has either a dominant characteristic root or exactly two characteristic roots of maximal modulus, we give some explicit lower bounds for the index beyond which every term of the sequence is non-zero. It turns out that this case covers almost all such sequences whose coefficients are rational numbers.
Cite
@article{arxiv.1505.07147,
title = {Effective results on the Skolem Problem for linear recurrence sequences},
author = {Min Sha},
journal= {arXiv preprint arXiv:1505.07147},
year = {2018}
}
Comments
20 pages, to appear in Journal of Number Theory