Simultaneous approximation of a \(v\)-adic number and of its square by algebraic numbers

DOI10.1016/J.JNT.2013.04.004zbMath1295.11077OpenAlexW2020219845MaRDI QIDQ740880

Pierre Bel

Publication date: 9 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.04.004

zbMATH Keywords

simultaneous approximationnumber fieldalgebraic number\(v\)-adic number

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13) Approximation in non-Archimedean valuations (11J61)

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Cites Work

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• Approximation to real numbers by cubic algebraic integers. II.
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• Simultaneous approximation to a real number and its square
• Approximation d'un nombre p-adique par des nombres algebriques
• On simultaneous uniform approximation to a $p$-adic number and its square
• On Two Exponents of Approximation Related to a Real Number and Its Square
• On simultaneous rational approximations to a real number, its square, and its cube
• Approximation to real numbers by cubic algebraic integers I
• Approximation to real numbers by algebraic integers

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