A divergent Khintchine theorem in the real, complex, and \(p\)-adic fields

DOI10.1007/S10986-008-9005-9zbMath1143.11337OpenAlexW2085449185MaRDI QIDQ946141

Detta Dickinson, Natalia Budarina, Vasilii Bernik

Publication date: 22 September 2008

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-008-9005-9

zbMATH Keywords

Diophantine approximationkhintchine-type theoremsmetric theory of transcendental numbers

Mathematics Subject Classification ID

Approximation to algebraic numbers (11J68)

Related Items (8)

ON A PROBLEM OF NESTERENKO: WHEN IS THE CLOSEST ROOT OF A POLYNOMIAL A REAL NUMBER? ⋮ Integral polynomials with small discriminants and resultants ⋮ Unnamed Item ⋮ Unnamed Item ⋮ ОЦЕНКИ СВЕРХУ И СНИЗУ ДЛЯ КОЛИЧЕСТВА АЛГЕБРАИЧЕСКИХ ТОЧЕК В КОРОТКИХ ИНТЕРВАЛАХ ⋮ Discriminants of polynomials in the Archimedean and non-Archimedean metrics ⋮ On the rate of convergence to zero of the measure of extremal sets in metric theory of transcendental numbers ⋮ ON A PROBLEM OF BERNIK, KLEINBOCK AND MARGULIS

Cites Work

• Applications of the method of trigonometric sums to the metric theory of diophantine approximation of dependent quantities
• Khintchine's theorem and approximation of zero by the values of integer polynomials in different metrics
• On approximation of \(p\)-adic numbers by \(p\)-adic algebraic numbers
• О точном порядке приближения нуля значениями целочисленных многочленов
• On approximation of real numbers by real algebraic numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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