Counter-examples in parametric geometry of numbers
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Publication:5146472
DOI10.4064/aa191217-9-4zbMath1456.11124arXiv1912.06483OpenAlexW3038615539MaRDI QIDQ5146472
Damien Roy, Martin Rivard-Cooke
Publication date: 25 January 2021
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.06483
semialgebraic setsparametric geometry of numbersexponents of Diophantine approximation\(n\)-systemscoordinatewise ordering
Lattices and convex bodies (number-theoretic aspects) (11H06) Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13)
Related Items (3)
On parametric 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
- Spectrum of the exponents of best rational approximation
- On Schmidt and Summerer parametric geometry of numbers
- Diophantine approximation and parametric geometry of numbers
- A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation
- On the topology of Diophantine approximation spectra
- An optimal bound for the ratio between ordinary and uniform exponents of Diophantine approximation
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