Linear divisibility sequences and Salem numbers
Number Theory
2017-09-08 v1
Abstract
We study linear divisibility sequences of order 4, providing a characterization by means of their characteristic polynomials and finding their factorization as a product of linear divisibility sequences of order 2. Moreover, we show a new interesting connection between linear divisibility sequences and Salem numbers. Specifically, we generate linear divisibility sequences of order 4 by means of Salem numbers modulo 1.
Cite
@article{arxiv.1709.01995,
title = {Linear divisibility sequences and Salem numbers},
author = {Marco Abrate and Stefano Barbero and Umberto Cerruti and Nadir Murru},
journal= {arXiv preprint arXiv:1709.01995},
year = {2017}
}