On arrangements of real roots of a real polynomial and its derivatives

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We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its $s$-th derivative are realizable by real polynomials.
To appear in Serdica Math. J. 29 (2003)

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/63885

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204272
 http://arxiv.org/abs/math/0204272
 Serdica Math. J. 29 (2003), 65-74

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arXiv