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multiplicity of a root

Proceedings of the Edinburgh Mathematical Society (1)

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Bounds for the multiplicities of the roots of a complex polynomial
Part of
- Real and complex fields
- Polynomials and matrices
A. I. Bonciocat, N. C. Bonciocat, A. Zaharescu
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 54 / Issue 3 / October 2011

Published online by Cambridge University Press:

08 April 2011, pp. 587-598
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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.