On roots of polynomials with positive coefficients

• Autores: Arturas Dubickas
• Localización: Manuscripta mathematica, ISSN 0025-2611, Vol. 123, Nº. 3, 2007, págs. 353-356
• Idioma: inglés
• DOI: 10.1007/s00229-007-0101-7
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• Resumen

  • We prove that an algebraic number a 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.