Simultaneous approximation of algebraic numbers of \(\mathbb Q_p\) by rational numbers.

DOI10.1007/s00605-002-0516-xzbMath1044.11062OpenAlexW2058828310MaRDI QIDQ1865181

Olivier Teulié

Publication date: 25 March 2003

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-002-0516-x

zbMATH Keywords

simultaneous Diophantine approximation\(p\)-adic valuationnon-Archimedean valuation\(S\)-units\(p\)-adic logarithm

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Approximation to algebraic numbers (11J68) Approximation in non-Archimedean valuations (11J61)

Related Items (4)

Simultaneous rational approximation to successive powers of a real number ⋮ On the \(p\)-adic rational approximation ⋮ On certain simultaneous rational approximations in \(\mathbb{R}^2\) and certain rational approximations in \(\mathbb{Q}_p\) ⋮ Transcendence of some power series for Liouville number arguments

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