Bounds for the multiplicities of the roots of a complex polynomial

A. I. Bonciocat; N. C. Bonciocat; A. Zaharescu

doi:10.1017/S0013091510000209

Bounds for the multiplicities of the roots of a complex polynomial

A. I. Bonciocat, N. C. Bonciocat, A. Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	587-598
Number of pages	12
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	54
Issue number	3
DOIs	https://doi.org/10.1017/S0013091510000209
State	Published - Oct 2011

Keywords

multiplicity of a root
non-Archimedean absolute value
separable polynomial

ASJC Scopus subject areas

General Mathematics

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10.1017/S0013091510000209

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title = "Bounds for the multiplicities of the roots of a complex polynomial",

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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author = "Bonciocat, {A. I.} and Bonciocat, {N. C.} and A. Zaharescu",

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AU - Bonciocat, A. I.

AU - Bonciocat, N. C.

AU - Zaharescu, A.

PY - 2011/10

Y1 - 2011/10

N2 - 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.

AB - 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.

KW - multiplicity of a root

KW - non-Archimedean absolute value

KW - separable polynomial

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Bounds for the multiplicities of the roots of a complex polynomial

Abstract

Keywords

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