Going-up theorems for simultaneous Diophantine approximation

zbMath1472.11206arXiv2010.01000MaRDI QIDQ2045874

Publication date: 16 August 2021

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.01000

zbMATH Keywords

simultaneous approximation parametric geometry of numbers exponents of Diophantine approximation

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83)

Related Items (1)

Optimality of two inequalities for exponents of Diophantine approximation

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On Schmidt and Summerer parametric geometry of numbers
Approximation to an extremal number, its square and its cube
On simultaneous rational approximation to a real number and its integral powers
Rational points near manifolds and metric Diophantine approximation
On transfer inequalities in Diophantine approximation. II
Simultaneous rational approximation to the successive powers of a real number
On simultaneous Diophantine approximations
Cubic approximation to Sturmian continued fractions
Spectra for approximating a real number and its square.
Exponents of Diophantine approximation and Sturmian continued fractions.
Diophantine approximation and parametric geometry of numbers
On Diophantine exponents and Khintchine's transference principle
On simultaneous rational approximation to a real number and its integral powers. II.
A measure of transcendence for singular points on conics
Exponents of Diophantine approximation in dimension 2 for numbers of Sturmian type
On uniform approximation to successive powers of a real number
A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation
On the discrepancy between best and uniform approximation
The generalization of Jarník’s identity
On uniform approximation to real numbers
Diophantine approximation and special Liouville numbers
Approximation mit algebraischen Zahlen beschränkten Grades.
On Two Exponents of Approximation Related to a Real Number and Its Square
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
Применение размерностн Хаусдорфа в теории диофантовых приближений
Hausdorff dimension, lower order and Khintchine's theorem in metric Diophantine approximation.
Approximation to real numbers by cubic algebraic integers I
Badly approximable points on self-affine sponges and the lower Assouad dimension
Uniform Diophantine approximation and best approximation polynomials
An improved bound in Wirsing’s problem
An equivalence principle between polynomial and simultaneous Diophantine approximation
An optimal bound for the ratio between ordinary and uniform exponents of Diophantine approximation
Hausdorff dimension and uniform exponents in dimension two
Approximation to real numbers by algebraic integers
Contribution to the linear and homogeneous Diophantine approximations

This page was built for publication: Going-up theorems for simultaneous Diophantine approximation