A characterization of polynomials whose high powers have non-negative coefficients

DOI10.19086/da.18560zbMath1455.26012arXiv1910.06890OpenAlexW3119929907MaRDI QIDQ5144436

Marcus Michelen, Julian Sahasrabudhe

Publication date: 16 January 2021

Published in: discrete Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06890

Mathematics Subject Classification ID

Real polynomials: analytic properties, etc. (26C05)

Cites Work

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• Central limit theorems, Lee-Yang zeros, and graph-counting polynomials
• Complete monotonicity for inverse powers of some combinatorially defined polynomials
• Asymptotic expansions and positivity of coefficients for large powers of analytic functions
• Central limit theorems from the roots of probability generating functions
• Negative dependence and the geometry of polynomials
• Distribution of zeros of polynomials with positive coefficients
• Positive polynomials and product type actions of compact groups
• Deciding eventual positivity of polynomials
• Characterization of polynomials whose large powers have all positive coefficients
• Hyperbolicity and stable polynomials in combinatorics and probability
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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