Small degree Salem numbers with trace -3
Number Theory
2024-04-05 v1
Abstract
The contribution of this work is to provide tables of Salem numbers with trace -3 and small degrees, namely degrees 2d = 34, 36, 38, and 40. The implemented method also generates a list of totally positive polynomials of degrees d = 17, 18, 19, and 20, with trace 2d - 3, a single root strictly greater than 4, and all other roots strictly between 0 and 4.
Cite
@article{arxiv.2404.03288,
title = {Small degree Salem numbers with trace -3},
author = {Jean-Marc Sac-Épée},
journal= {arXiv preprint arXiv:2404.03288},
year = {2024}
}
Comments
8 pages, 6 tables