Could René Descartes Have Known This?

DOI10.1080/10586458.2015.1030051zbMath1326.26027arXiv1501.00856OpenAlexW1740538101MaRDI QIDQ3194580

Jens Forsgård, Vladimir Petrov Kostov, Boris Zalmanovich Shapiro

Publication date: 20 October 2015

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00856

zbMATH Keywords

Descartes' rule of signsstandard discriminant

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Related Items (13)

The disconnectedness of certain sets defined after uni-variate polynomials ⋮ On Descartes' rule for polynomials with two variations of signs ⋮ A non-realization theorem in the context of Descartes' rule of signs ⋮ Beyond Descartes’ rule of signs ⋮ Unnamed Item ⋮ Sign patterns and rigid moduli orders ⋮ Corrigendum: “Could René Descrates have known this?” ⋮ A property of discriminants ⋮ Degree 5 polynomials and Descartes' rule of signs ⋮ Polynomials, sign patterns and Descartes' rule of signs ⋮ Unnamed Item ⋮ Which sign patterns are canonical? ⋮ Problems around polynomials: the good, the bad and the ugly\dots

Cites Work

• Some remarks about Descartes' rule of signs
• Descartes' Rule of Signs: Another Construction
• Descartes' Rule of Signs Revisited

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