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arXiv · 2209.15599

Descartes's "Rule of Signs'' and Poincar\'e's Positivstellensatz

Melvyn B. Nathanson
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Abstract

This is an exposition of Poincar\'e's 1883 paper, ``Sur les \'equations alg\'ebriques,'' which gives an important refinement of Descartes's rule of signs and was a precursor of P\' olya's Positivstellensatz.

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Melvyn B. Nathanson. 2022-09-30. Descartes's "Rule of Signs'' and Poincar\'e's Positivstellensatz. https://arxiv.org/abs/2209.15599

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