On a polynomial positivity question of Collins, Dykema, and Torres-Ayala related to the Bessis-Moussa-Villani Conjecture

2021/10/24 by Edward D. Kim, Kim, Edward D., Miller, Joe +3
Mathematics · #15B36 #90C22 #90C23 #Advanced Combinatorial Mathematics #Advanced Differential Equations and Dynamical Systems #Advanced Mathematical Identities #FOS: Mathematics #Mathematics and Applications #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2110.12528

openalex publication_date 2021/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct sum of squares certificates of non-negativity for two families of polynomials appearing as a variant by Collins, Dykema, and Torres-Ayala to Häegele's reformulation of a conjecture by Bessis, Moussa, and Villani.

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