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

Vladimir Petrov Kostov

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

Vladimir Petrov Kostov

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Abstract

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.

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Vladimir Petrov Kostov. 2003-02-16. On arrangements of real roots of a real polynomial and its derivatives. https://arxiv.org/abs/math/0204272

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