Simultaneous rational approximation to the successive powers of a real number

DOI10.1016/S0019-3577(03)90070-XzbMath1049.11069OpenAlexW2067809131MaRDI QIDQ1433181

Michel Laurent

Publication date: 15 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(03)90070-x

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Homogeneous approximation to one number (11J04)

Related Items (15)

ON THE SPECTRUM OF DIOPHANTINE APPROXIMATION CONSTANTS ⋮ On uniform approximation to successive powers of a real number ⋮ Simultaneous rational approximation to successive powers of a real number ⋮ Upper bounds for the uniform simultaneous Diophantine exponents ⋮ Continued fractions in the field of 𝑝-adic numbers ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ On simultaneous approximation to powers of a real number by rational numbers ⋮ Exponents of Diophantine approximation and Sturmian continued fractions. ⋮ Rational approximation to real points on conics ⋮ Simultaneous approximation of a \(v\)-adic number and of its square by algebraic numbers ⋮ An improved bound in Wirsing’s problem ⋮ Going-up theorems for simultaneous Diophantine approximation ⋮ On geometry of numbers and uniform rational approximation to the Veronese curve ⋮ On simultaneous rational approximation to a p-adic number and its integral powers, II ⋮ An equivalence principle between polynomial and simultaneous Diophantine approximation

Cites Work

• Unnamed Item
• Approximation to real numbers by cubic algebraic integers I
• Approximation d'un nombre réel par des nombres algébriques de degré donné
• Diophantine approximation by conjugate algebraic integers
• Approximation to real numbers by algebraic integers

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