Simultaneous Diophantine approximation in two metrics and the distance between conjugate algebraic numbers in \(\mathbb C\times\mathbb Q_p\)

DOI10.1016/j.indag.2011.09.012zbMath1239.11075OpenAlexW2053515027MaRDI QIDQ663562

Detta Dickinson, Natalia Budarina

Publication date: 25 February 2012

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2011.09.012

zbMATH Keywords

Diophantine approximationroot separation\(p\)-adic fieldscomplex fieldsmall discriminant

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83)

Cites Work

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• On the divisibility of the discriminant of an integral polynomial by prime powers
• On the number of polynomials with small discriminants in the Euclidean and \(p\)-adic metrics
• An inequality for the discriminant of a polynomial
• Root separation for irreducible integer polynomials
• Lower bounds for the number of integral polynomials with given order of discriminants
• ON THE DISTANCE BETWEEN ROOTS OF INTEGER POLYNOMIALS
• The distribution of close conjugate algebraic numbers

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