On the rate of convergence to zero of the measure of extremal sets in metric theory of transcendental numbers

DOI10.1007/s00209-018-2211-1zbMath1443.11145OpenAlexW2902563245WikidataQ114231083 ScholiaQ114231083MaRDI QIDQ2272973

Natalia Budarina

Publication date: 17 September 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-018-2211-1

zbMATH Keywords

Lebesgue measuremetric Diophantine approximationextremal setsleading polynomialsSprindzhuk's theorem

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60) Approximation to algebraic numbers (11J68)

Related Items (2)

QUANTITATIVE ESTIMATE FOR THE MEASURE OF A SET OF REAL NUMBERS ⋮ An effective estimate for the measure of the set of p-adic numbers with a given order of approximation

Cites Work

• A divergent Khintchine theorem in the real, complex, and \(p\)-adic fields
• A Groshev type theorem for convergence on manifolds
• 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
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