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On roots of polynomials with positive coefficients

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Abstract

We prove that an algebraic number α is a root of a polynomial with positive rational coefficients if and only if none of its conjugates is a nonnegative real number. This settles a recent conjecture of Kuba.

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Correspondence to Artūras Dubickas.

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Dubickas, A. On roots of polynomials with positive coefficients. manuscripta math. 123, 353–356 (2007). https://doi.org/10.1007/s00229-007-0101-7

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  • DOI: https://doi.org/10.1007/s00229-007-0101-7

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