Diophantine approximation and special Liouville numbers

zbMath1284.11098arXiv1301.2177MaRDI QIDQ2844468

Johannes Schleischitz

Publication date: 28 August 2013

Full work available at URL: https://arxiv.org/abs/1301.2177

zbMATH Keywords

latticessuccessive minimaconvex geometryLiouville numbers

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Transcendence (general theory) (11J81) Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (6)

A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation ⋮ Exact uniform approximation and Dirichlet spectrum in dimension at least two ⋮ A variational principle in the parametric geometry of numbers ⋮ On a question of Schmidt and Summerer concerning 3-systems ⋮ Approximation to an extremal number, its square and its cube ⋮ Going-up theorems for simultaneous Diophantine approximation

Uses Software

• Matlab

Cites Work

• Diophantine approximation and parametric geometry of numbers
• Proof of W.M. Schmidt's conjecture concerning successive minima of a lattice
• Parametric geometry of numbers and applications
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