Potential energy of totally positive algebraic integers

2022/02/10 by Giacomo Cherubini, Pavlo Yatsyna, Cherubini, Giacomo +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2202.05235

openalex publication_date 2022/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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