ON A PROBLEM OF NESTERENKO: WHEN IS THE CLOSEST ROOT OF A POLYNOMIAL A REAL NUMBER?

DOI10.1142/S1793042112500455zbMath1268.11093OpenAlexW2079698374MaRDI QIDQ2880337

Natalia Budarina, Hugh O'Donnell

Publication date: 13 April 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042112500455

zbMATH Keywords

classification of roots of polynomialsresultant of integer polynomial

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Approximation to algebraic numbers (11J68)

Related Items (1)

When should a polynomial’s root nearest to a real number be real itself?

Cites Work

• A divergent Khintchine theorem in the real, complex, and \(p\)-adic fields
• Polynomial root separation examples
• APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION
• POLYNOMIAL ROOT SEPARATION
• ON THE DISTANCE BETWEEN ROOTS OF INTEGER POLYNOMIALS
• The distribution of close conjugate algebraic numbers

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