Further than Descartes’ rule of signs

The sign pattern defined by the real polynomial $Q:=\Sigma _{j=0}^da_jx^j$, $a_j\ne 0$, is the string $\sigma (Q):=(\mathrm{sgn}(a_d),\ldots ,\mathrm{sgn}(a_0))$. The quantities $\mathrm{pos}$ and $\mathrm{neg}$ of positive and negative roots of $Q$ satisfy Descartes’ rule of signs. A couple $(\sigm...

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Bibliographic Details
Main Authors: Gati, Yousra, Kostov, Vladimir Petrov, Tarchi, Mohamed Chaouki
Format: Article
Language:English
Published: Académie des sciences 2024-10-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.610/
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