An optimal bound for the ratio between ordinary and uniform exponents of Diophantine approximation

zbMath1503.11100arXiv1802.03081MaRDI QIDQ5055452

Antoine Marnat, Nikolay G. Moshchevitin

Publication date: 14 December 2022

Full work available at URL: https://arxiv.org/abs/1802.03081

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Simultaneous homogeneous approximation, linear forms (11J13)

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Singular vectors on manifolds and fractals ⋮ On badly approximable vectors ⋮ On some properties of irrational subspaces ⋮ Simultaneous rational approximation to successive powers of a real number ⋮ Geometry of Diophantine exponents ⋮ A transference principle for simultaneous rational approximation ⋮ On parametric geometry of numbers ⋮ Counter-examples in parametric geometry of numbers ⋮ A graph arising in the geometry of numbers ⋮ Going-up theorems for simultaneous Diophantine approximation ⋮ On geometry of numbers and uniform rational approximation to the Veronese curve ⋮ Simultaneous Diophantine approximation: sums of squares and homogeneous polynomials ⋮ Rational approximation to real points on quadratic hypersurfaces ⋮ Optimality of two inequalities for exponents of Diophantine approximation

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