Potential energy of totally positive algebraic integers
Number Theory
2022-02-11 v1
Abstract
Given positive real numbers, we prove two inequalities involving their potential energy and their power sums. We also prove an inequality involving the energy and the discriminant and apply it to deduce a result on totally positive irreducible polynomials.
Keywords
Cite
@article{arxiv.2202.05235,
title = {Potential energy of totally positive algebraic integers},
author = {Giacomo Cherubini and Pavlo Yatsyna},
journal= {arXiv preprint arXiv:2202.05235},
year = {2022}
}
Comments
16 pages