On the topology of Diophantine approximation spectra
From MaRDI portal
Publication:4977237
DOI10.1112/S0010437X17007126zbMath1379.11069arXiv1610.06005MaRDI QIDQ4977237
Publication date: 3 August 2017
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.06005
spectrumtopologysuccessive minimaparametric geometry of numbersexponents of Diophantine approximation
Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13)
Related Items (8)
Diophantine approximation with constraints ⋮ SIMULTANEOUS APPROXIMATION TO TWO REALS: BOUNDS FOR THE SECOND SUCCESSIVE MINIMUM ⋮ On parametric geometry of numbers ⋮ Counter-examples in parametric geometry of numbers ⋮ On a question of Schmidt and Summerer concerning 3-systems ⋮ A graph arising in the geometry of numbers ⋮ On geometry of numbers and uniform rational approximation to the Veronese curve ⋮ Optimality of two inequalities for exponents of Diophantine approximation
Cites Work
- Unnamed Item
- Unnamed Item
- Spectrum of the exponents of best rational approximation
- On Schmidt and Summerer parametric geometry of numbers
- Diophantine approximation and parametric geometry of numbers
- Simultaneous approximation to three numbers
- On heights of algebraic subspaces and diophantine approximations
- A new decision method for elementary algebra
- The generalization of Jarník’s identity
- Intermediate Diophantine exponents and parametric geometry of numbers
- Exponents for three-dimensional simultaneous Diophantine approximations
- Proof of W.M. Schmidt's conjecture concerning successive minima of a lattice
- Exponents of Diophantine Approximation in Dimension Two
- Parametric geometry of numbers and applications
- About Jarník’s-type relation in higher dimension
- Contribution to the linear and homogeneous Diophantine approximations
This page was built for publication: On the topology of Diophantine approximation spectra