scientific article; zbMATH DE number 7120911

zbMATH Open1439.11090MaRDI QIDQ5239621

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Publication date: 22 October 2019

Full work available at URL: http://mathnet.ru/eng/cheb372

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zbMATH Keywords

integer polynomialsapproximation by algebraic numbersdiscriminants of polynomials

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Class numbers, class groups, discriminants (11R29) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• Rational points near manifolds and metric Diophantine approximation
• A divergent Khintchine theorem in the real, complex, and \(p\)-adic fields
• The asymptotic number of integral cubic polynomials with bounded heights and discriminants
• О точном порядке приближения нуля значениями целочисленных многочленов
• A note on binary cubic forms
• Lower bounds for the number of integral polynomials with given order of discriminants
• Simultaneous Diophantine approximation in the real, complex and p–adic fields.
• Применение размерностн Хаусдорфа в теории диофантовых приближений
• On approximation of real numbers by real algebraic numbers

Related Items (2)

Exact upper bounds for the number of the polynomials with given discriminants ⋮ On the distribution of polynomial discriminants: totally real case

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