On simultaneous rational approximation to a real number and its integral powers

DOI10.5802/aif.2580zbMath1229.11100OpenAlexW3023403393MaRDI QIDQ624780

Yann Bugeaud

Publication date: 9 February 2011

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116329

zbMATH Keywords

simultaneous approximationexponent of approximation

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (19)

Exponents of Diophantine approximation in dimension 2 for a general class of numbers ⋮ Null-controllability properties of the wave equation with a second order memory term ⋮ ON THE SPECTRUM OF DIOPHANTINE APPROXIMATION CONSTANTS ⋮ On uniform approximation to successive powers of a real number ⋮ Rational approximation to surfaces defined by polynomials in one variable ⋮ Cubic approximation to Sturmian continued fractions ⋮ On simultaneous rational approximation to a real number and its integral powers. II. ⋮ Quadratic approximation to automatic continued fractions ⋮ On Diophantine exponents for Laurent series over a finite field ⋮ Continued fractions in the field of 𝑝-adic numbers ⋮ Diophantine approximation on polynomial curves ⋮ The Minkowski chain and Diophantine approximation ⋮ Rational approximation to algebraic varieties and a new exponent of simultaneous approximation ⋮ Approximation to an extremal number, its square and its cube ⋮ Hausdorff Dimension and Diophantine Approximation ⋮ ON A PROBLEM POSED BY MAHLER ⋮ Going-up theorems for simultaneous Diophantine approximation ⋮ On simultaneous rational approximation to ap-adic number and its integral powers ⋮ An equivalence principle between polynomial and simultaneous Diophantine approximation

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