An equivalence principle between polynomial and simultaneous Diophantine approximation

DOI10.2422/2036-2145.201902_014zbMath1469.11229arXiv1704.00055OpenAlexW2962839192MaRDI QIDQ5003278

Publication date: 21 July 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00055

zbMATH Keywords

Mahler's classification

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83)

Related Items (4)

Simultaneous rational approximation to successive powers of a real number ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ Going-up theorems for simultaneous Diophantine approximation ⋮ On geometry of numbers and uniform rational approximation to the Veronese curve

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On simultaneous rational approximation to a real number and its integral powers
Mahler and Koksma classification of points in \(\mathbb R^n\) and \(\mathbb C^n\)
Approximation to real numbers by cubic algebraic integers. II.
Simultaneous rational approximation to the successive powers of a real number
Rational approximation to surfaces defined by polynomials in one variable
Exponents of Diophantine approximation and Sturmian continued fractions.
On \(U_m\)-numbers with small transcendence measure
Diophantine approximation and parametric geometry of numbers
On simultaneous rational approximation to a real number and its integral powers. II.
A measure of transcendence for singular points on conics
Simultaneous approximation to three numbers
On approximation of real numbers by algebraic numbers of bounded degree
On uniform approximation to successive powers of a real number
On uniform approximation to real numbers
Two estimates concerning classical diophantine approximation constants
Approximation mit algebraischen Zahlen beschränkten Grades.
ON THE SPECTRUM OF DIOPHANTINE APPROXIMATION CONSTANTS
On simultaneous rational approximations to a real number, its square, and its cube
Mesures de transcendance et aspects quantitatifs de la méthode de Thue-Siegel-Roth-Schmidt
Parametric geometry of numbers and applications
Application of Hausdorff dimension in the theory of Diophantine approximations
On U m -Numbers
On approximation with algebraic numbers of bounded degree
Approximation to real numbers by cubic algebraic integers I
Approximation d'un nombre réel par des nombres algébriques de degré donné
Uniform Diophantine approximation and best approximation polynomials
Diophantine approximation in prescribed degree
SOME NOTES ON THE REGULAR GRAPH DEFINED BY SCHMIDT AND SUMMERER AND UNIFORM APPROXIMATION
Approximation to real numbers by algebraic integers
Diophantine Approximation and Hausdorff Dimension
On Mahler's U -Numbers

This page was built for publication: An equivalence principle between polynomial and simultaneous Diophantine approximation