A transference principle for simultaneous rational approximation
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Publication:2211022
DOI10.5802/jtnb.1127zbMath1460.11100arXiv1908.11777OpenAlexW3095545425MaRDI QIDQ2211022
Ngoc Ai Van Nguyen, Damien Roy, Anthony Poels
Publication date: 10 November 2020
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.11777
simultaneous approximationheightsexponents of Diophantine approximationMarnat-Moshchevitin transference inequalitiesmeasures of rational approximation
Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13)
Related Items (7)
Singular vectors on manifolds and fractals ⋮ On badly approximable vectors ⋮ Applications of Siegel's lemma to a system of linear forms and its minimal points ⋮ Simultaneous rational approximation to successive powers of a real number ⋮ Geometry of Diophantine exponents ⋮ On geometry of numbers and uniform rational approximation to the Veronese curve ⋮ Rational approximation to real points on quadratic hypersurfaces
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- 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
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