Rational approximation to real points on quadratic hypersurfaces
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Publication:4999777
DOI10.1112/jlms.12388zbMath1479.11120arXiv1909.01499OpenAlexW2972034997MaRDI QIDQ4999777
Publication date: 2 July 2021
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.01499
rational approximationextremal pointsparametric geometry of numbersWitt indexquadratic hypersurfacesexponent of best rational approximationexponent of uniform rational approximation
Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13)
Related Items (3)
Exponents of Diophantine approximation in dimension 2 for a general class of numbers ⋮ Singular vectors on manifolds and fractals ⋮ Quantitative rational approximation on spheres
Cites Work
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- On Schmidt and Summerer parametric geometry of numbers
- Exponents of Diophantine approximation and Sturmian continued fractions.
- Simultaneous approximation to a real number and its square
- Diophantine approximation and parametric geometry of numbers
- A transference principle for simultaneous rational approximation
- Simultaneous approximation to three numbers
- Rational approximation to real points on conics
- Approximation to real numbers by cubic algebraic integers I
- An optimal bound for the ratio between ordinary and uniform exponents of Diophantine approximation
- Simultaneous Diophantine approximation: sums of squares and homogeneous polynomials
- Espaces adéliques quadratiques
- Approximation to real numbers by algebraic integers
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