A class of maximally singular sets for rational approximation

DOI10.1142/S1793042120501031zbMath1455.11097arXiv1909.12159OpenAlexW2976679270MaRDI QIDQ4970763

Anthony Poels

Publication date: 7 October 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.12159

zbMATH Keywords

Grassmannianssimultaneous approximationsingular setsexponents of Diophantine approximationmeasures of rational approximation\(k\)-linear maps

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (2)

Singular vectors on manifolds and fractals ⋮ On geometry of numbers and uniform rational approximation to the Veronese curve

Cites Work

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• Projective metric number theory
• Rational approximation to real points on conics
• Images of bilinear mappings into 𝐑³
• Approximation to real numbers by cubic algebraic integers I
• Intrinsic Diophantine approximation on manifolds: General theory
• Approximation to real numbers by algebraic integers

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