A measure of transcendence for singular points on conics

DOI10.5802/jtnb.1085zbMath1459.11152arXiv1809.03642OpenAlexW2983734049WikidataQ126816164 ScholiaQ126816164MaRDI QIDQ2198363

Damien Roy

Publication date: 10 September 2020

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03642

zbMATH Keywords

uniform approximationquantitative subspace theoremmeasure of transcendence

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13) Schmidt Subspace Theorem and applications (11J87)

Related Items (2)

Going-up theorems for simultaneous Diophantine approximation ⋮ An equivalence principle between polynomial and simultaneous Diophantine approximation

Cites Work

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• Transcendence measures for continued fractions involving repetitive or symmetric patterns
• Diophantine approximation
• Exponents of Diophantine approximation and Sturmian continued fractions.
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• Rational approximation to real points on conics
• Mesures de transcendance et aspects quantitatifs de la méthode de Thue-Siegel-Roth-Schmidt
• Approximation to real numbers by cubic algebraic integers I
• Approximation to real numbers by quadratic irrationals
• Approximation to real numbers by algebraic integers

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