Real Algebraic and Analytic Geometry

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138. M. Coste, T. Lajous, H. Lombardi, M-F. Roy:
Generalized Budan-Fourier theorem and virtual roots.

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Submission: 2004, September 28.

Abstract:
In this Note we give a proof of a generalized version of the classical Budan-Fourier theorem, interpreting sign variations in the derivatives in terms of virtual roots.

Mathematics Subject Classification (2000): 12D10.

Keywords and Phrases: real root counting.

Full text, 8p.: dvi 27k, ps.gz 120k, pdf 180k.


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