On roots of polynomials with positive coefficients |
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Authors: | Artūras Dubickas |
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Affiliation: | (1) Department of Mathematics and Informatics, Vilnius University, Naugarduko 24, 03225 Vilnius, Lithuania |
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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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Keywords: | 11R04 11R09 12D10 |
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