Spectrum of the exponents of best rational approximation

DOI10.1007/s00209-015-1592-7zbMath1338.11061arXiv1410.1007OpenAlexW3099976232MaRDI QIDQ284782

Damien Roy

Publication date: 18 May 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1007

zbMATH Keywords

exponentrational approximationparametric geometry of numbers

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (14)

Exponents of Diophantine approximation in dimension 2 for a general class of numbers ⋮ Dirichlet is not just bad and singular ⋮ About Jarník’s-type relation in higher dimension ⋮ Diophantine sets and Dirichlet improvability ⋮ A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation ⋮ The complex case of Schmidt's going-down theorem ⋮ Geometry of Diophantine exponents ⋮ Diophantine approximation with constraints ⋮ A variational principle in the parametric geometry of numbers ⋮ On parametric geometry of numbers ⋮ Counter-examples in parametric geometry of numbers ⋮ Exponents of Diophantine approximation in dimension 2 for numbers of Sturmian type ⋮ On the topology of Diophantine approximation spectra ⋮ Optimality of two inequalities for exponents of Diophantine approximation

Cites Work

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• On Schmidt and Summerer parametric geometry of numbers
• On transfer inequalities in Diophantine approximation. II
• Diophantine approximation and parametric geometry of numbers
• On heights of algebraic subspaces and diophantine approximations
• Exponents of Diophantine Approximation in Dimension Two
• Parametric geometry of numbers and applications

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