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

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.

arXiv comment19 pages, 10 figures

References in corpus (6)

• Symmetry groups, semidefinite programs, and sums of squares
• Symmetry in semidefinite programs
• Equivalent forms of the Bessis-Moussa-Villani conjecture
• Sums of hermitian squares and the BMV conjecture
• Proof of the cases $p\le 7$ of the Lieb-Seiringer formulation of the Bessis-Moussa-Villani conjecture
• Sum--of--squares results for polynomials related to the Bessis--Moussa--Villani conjecture