Quantitative Khintchine in simultaneous approximation

DOI10.3934/dcds.2023107zbMath1524.11136arXiv2209.14196OpenAlexW4386929782MaRDI QIDQ6085055

Shreyasi Datta

Publication date: 2 December 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.14196

zbMATH Keywords

metric number theoryquantitative approximationDiophantine approximation for manifolds

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Diophantine approximation and applications in interference alignment
• Rational points near manifolds and metric Diophantine approximation
• Flows on homogeneous spaces and Diophantine approximation on manifolds
• Diophantine approximation on curves and the distribution of rational points: contributions to the divergence theory
• Quantitative Diophantine approximation on affine subspaces
• Rational points near planar curves and Diophantine approximation
• Diophantine approximation on planar curves and the distribution of rational points. With an appendix: Sums of two squares near perfect squares by R. C. Vaughan
• Diophantine approximation on planar curves: the convergence theory
• Number theory meets wireless communications: an introduction for dummies like us
• Information Dimension and the Degrees of Freedom of the Interference Channel
• Real Interference Alignment: Exploiting the Potential of Single Antenna Systems
• The Degrees of Freedom of Compute-and-Forward
• Interference Alignment — A New Look at Signal Dimensions in a Communication Network
• Khintchine-type theorems on manifolds
• On the Best Constant for the Besicovitch Covering Theorem
• DIOPHANTINE APPROXIMATION ON MANIFOLDS AND LOWER BOUNDS FOR HAUSDORFF DIMENSION
• Interference Alignment for the K-User MIMO Interference Channel
• A Problem on Circles
• Geometrical Extrema Suggested by a Lemma of Besicovitch

This page was built for publication: Quantitative Khintchine in simultaneous approximation