Descartes's "Rule of Signs'' and Poincaré's Positivstellensatz

2022/09/30 by Melvyn B. Nathanson, Nathanson, Melvyn B.
Mathematics · #11B75 #11B83 #11C08 #12D10 #Algebraic Geometry (math.AG) #FOS: Mathematics #History and Theory of Mathematics

paper · pdf · doi:10.48550/arxiv.2209.15599

openalex publication_date 2022/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an exposition of Poincaré's 1883 paper, ``Sur les équations algébriques,'' which gives an important refinement of Descartes's rule of signs and was a precursor of P' olya's Positivstellensatz.

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