On Salem numbers which are exceptional units
Number Theory
2023-09-28 v2
Abstract
By extending a construction due to Gross and McMullen [2], we show that for any odd integer n and for any even integer d>n+2 there are infinitely many Salem numbers of degree d such that is a unit. A similar result is also proved when n runs through some classes of even integers, d>n+3 and d/2 is an odd integer.
Cite
@article{arxiv.2309.07723,
title = {On Salem numbers which are exceptional units},
author = {Toufik Zaimi},
journal= {arXiv preprint arXiv:2309.07723},
year = {2023}
}