An effective estimate for the measure of the set of p-adic numbers with a given order of approximation

DOI10.1142/S1793042120500335zbMath1445.11059OpenAlexW2977893037WikidataQ114071951 ScholiaQ114071951MaRDI QIDQ5221476

Natalia Budarina

Publication date: 26 March 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042120500335

zbMATH Keywords

\(p\)-adic numbersmetric Diophantine approximationSprindzhuk theorem

Mathematics Subject Classification ID

Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60) Approximation in non-Archimedean valuations (11J61)

Related Items (1)

QUANTITATIVE ESTIMATE FOR THE MEASURE OF A SET OF REAL NUMBERS

Cites Work

• Simultaneous Diophantine approximation in non-degenerate \(p\)-adic manifolds
• On the rate of convergence to zero of the measure of extremal sets in metric theory of transcendental numbers
• Flows on \(S\)-arithmetic homogeneous spaces and applications to metric Diophantine approximation
• On approximation of \(p\)-adic numbers by \(p\)-adic algebraic numbers
• \(S\)-arithmetic Khintchine-type theorem
• Inhomogeneous diophantine approximation on polynomials in $ℚ_p$
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