A transference principle for simultaneous rational approximation

DOI10.5802/jtnb.1127zbMath1460.11100arXiv1908.11777OpenAlexW3095545425MaRDI QIDQ2211022

Ngoc Ai Van Nguyen, Damien Roy, Anthony Poels

Publication date: 10 November 2020

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11777

zbMATH Keywords

simultaneous approximationheightsexponents of Diophantine approximationMarnat-Moshchevitin transference inequalitiesmeasures of rational approximation

Mathematics Subject Classification ID

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

Related Items (7)

Singular vectors on manifolds and fractals ⋮ On badly approximable vectors ⋮ Applications of Siegel's lemma to a system of linear forms and its minimal points ⋮ Simultaneous rational approximation to successive powers of a real number ⋮ Geometry of Diophantine exponents ⋮ On geometry of numbers and uniform rational approximation to the Veronese curve ⋮ Rational approximation to real points on quadratic hypersurfaces

Cites Work

• Unnamed Item
• Diophantine approximation
• Diophantine approximations and diophantine equations
• Simultaneous approximation to three numbers
• Rational approximation to real points on conics
• Exponents for three-dimensional simultaneous Diophantine approximations
• Exponents of Diophantine Approximation in Dimension Two
• Approximation to real numbers by cubic algebraic integers I
• An optimal bound for the ratio between ordinary and uniform exponents of Diophantine approximation
• Simultaneous Diophantine approximation: sums of squares and homogeneous polynomials

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