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Bounds for the multiplicities of the roots of a complex polynomial

Part of: Real and complex fields Polynomials and matrices

Published online by Cambridge University Press:  08 April 2011

A. I. Bonciocat ,
N. C. Bonciocat  and
A. Zaharescu
A. I. Bonciocat
Affiliation:
Institute of Mathematics of the Romanian Academy, PO Box 1-764, Bucharest 014700, Romania ([email protected]; [email protected])
N. C. Bonciocat
Affiliation:
Institute of Mathematics of the Romanian Academy, PO Box 1-764, Bucharest 014700, Romania ([email protected]; [email protected])
A. Zaharescu
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 W. Green Street, Urbana, IL 61801, USA ([email protected])
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Abstract

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We refine a result of Dubickas on the maximal multiplicity of the roots of a complex polynomial, and obtain several separability criteria for complex polynomials with large leading coefficient. We also give p-adic analogous results for polynomials with integer coefficients.

Keywords

separable polynomialmultiplicity of a rootnon-Archimedean absolute value

MSC classification

Secondary: 11C08: Polynomials 12D05: Polynomials
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 54 , Issue 3 , October 2011 , pp. 587 - 598
Copyright
Copyright © Edinburgh Mathematical Society 2011

References

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