Approximation d'un nombre p-adique par des nombres algebriques

DOI10.4064/aa102-2-3zbMath0993.11036OpenAlexW1969461641MaRDI QIDQ2781456

Olivier Teulié

Publication date: 20 March 2002

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa102-2-3

zbMATH Keywords

algebraic approximation\(p\)-adic fieldsalgebraic numbers

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Lattices and convex bodies (number-theoretic aspects) (11H06) Approximation to algebraic numbers (11J68) Approximation in non-Archimedean valuations (11J61)

Related Items (6)

Simultaneous approximations to \(p\)-adic numbers and algebraic dependence via multidimensional continued fractions ⋮ On simultaneous uniform approximation to a $p$-adic number and its square ⋮ SIMULTANEOUS APPROXIMATION BY CONJUGATE ALGEBRAIC NUMBERS IN FIELDS OF TRANSCENDENCE DEGREE ONE ⋮ Simultaneous approximation of a \(v\)-adic number and of its square by algebraic numbers ⋮ Construction de nombres extrémaux pour le problème de l’approximation simultanée d’un nombre et de son carré ⋮ On simultaneous rational approximation to a p-adic number and its integral powers, II

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