3 papers
math.NT2024
Salem numbers less than 49/37
Jean-Marc Sac-Épée
A certain number of lists of small Salem numbers, some of which are certified as complete, are available online. Notably, the website of M. J. Mossinghoff features a list of 47 Sal…
math.NT2024
Small degree Salem numbers with trace -3
Jean-Marc Sac-Épée
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…
math.NT2021
On the relations between the zeros of a polynomial and its Mahler measure
Myrial Ounaies, Georges Rhin, Jean Marc Sac-Épée
In this work, we are dealing with some properties relating the zeros of a polynomial and its Mahler measure. We provide estimates on the number of real zeros of a polynomial, lower…