ОЦЕНКИ СВЕРХУ И СНИЗУ ДЛЯ КОЛИЧЕСТВА АЛГЕБРАИЧЕСКИХ ТОЧЕК В КОРОТКИХ ИНТЕРВАЛАХ

DOI10.22405/2226-8383-2017-18-4-115-126zbMath1434.11157OpenAlexW2809844679MaRDI QIDQ5108818

Anna Gusakova, Alekseĭ Sergeevich Kudin, Vasilii Bernik

Publication date: 6 May 2020

Published in: Чебышевский сборник (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb601

zbMATH Keywords

Diophantine approximationalgebraic numberregular systems of pointsMinkowski's linears form theorem

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

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• A divergent Khintchine theorem in the real, complex, and \(p\)-adic fields
• A Groshev type theorem for convergence on manifolds
• On points with algebraically conjugate coordinates close to smooth curves
• Distance between conjugate algebraic numbers in clusters
• On approximation of \(p\)-adic numbers by \(p\)-adic algebraic numbers
• О точном порядке приближения нуля значениями целочисленных многочленов
• 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
• Distribution of real algebraic numbers of arbitrary degree in short intervals
• On algebraic integers in short intervals and near smooth curves
• Diophantine Approximation and Hausdorff Dimension

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