Rational approximation to real points on conics

DOI10.5802/aif.2832zbMath1304.11064arXiv1205.4600OpenAlexW2963163599MaRDI QIDQ2511505

Damien Roy

Publication date: 6 August 2014

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4600

zbMATH Keywords

algebraic curvesconicssimultaneous approximationsexponent of approximationapproximation by rational points

Mathematics Subject Classification ID

Plane and space curves (14H50) Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (5)

Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ A measure of transcendence for singular points on conics ⋮ A transference principle for simultaneous rational approximation ⋮ A class of maximally singular sets for rational approximation ⋮ Rational approximation to real points on quadratic hypersurfaces

Cites Work

• Simultaneous approximation of a \(v\)-adic number and of its square by algebraic numbers
• Diophantine approximation
• Approximation to real numbers by cubic algebraic integers. II.
• Simultaneous rational approximation to the successive powers of a real number
• Exponents of Diophantine approximation and Sturmian continued fractions.
• Simultaneous approximation to a real number and its square
• Extremal subspaces and their submanifolds
• On Two Exponents of Approximation Related to a Real Number and Its Square
• On simultaneous rational approximations to a real number, its square, and its cube
• Approximation to real numbers by cubic algebraic integers I
• Simultaneous approximation to a real number and to its cube by rational numbers
• Measures of algebraic approximation to Markoff extremal numbers
• Approximation to real numbers by algebraic integers

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