Article,

Bounds for the multiplicities of the roots of a complex polynomial

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Proceedings of the Edinburgh Mathematical Society (Series 2), 54 (03): 587-598 (October 2011)
DOI: 10.1017/S0013091510000209

Abstract

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.

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