ZERO‐ONE LAWS IN SIMULTANEOUS AND MULTIPLICATIVE DIOPHANTINE APPROXIMATION

DOI10.1112/S0025579312001106zbMath1368.11070arXiv1204.2236MaRDI QIDQ5326087

Liangpan Li

Publication date: 31 July 2013

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2236

zbMATH Keywords

simultaneous Diophantine approximationLebesgue measuremultiplicative Diophantine approximation

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83)

Related Items (3)

THE DUFFIN–SCHAEFFER‐TYPE CONJECTURES IN VARIOUS LOCAL FIELDS ⋮ A note on the weighted Khintchine-Groshev theorem ⋮ MULTIPLICATIVE DIOPHANTINE APPROXIMATION OF THE EXPANSIONS UNDER DIFFERENT BASES ON A LINE

Cites Work

• Unnamed Item
• Inhomogeneous Diophantine approximation on planar curves
• Approximation by reduced fractions
• Inhomogeneous Diophantine approximation on curves and Hausdorff dimension
• On the metric theory of diophantine approximation
• Inhomogeneous theory of dual Diophantine approximation on manifolds
• Khintchine's problem in metric diophantine approximation
• An inhomogeneous transference principle and Diophantine approximation
• The k ‐dimensional Duffin and Schaeffer conjecture
• A Metrical Theorem in Diophantine Approximation
• A note on zero-one laws in metrical Diophantine approximation
• Metric simultaneous diophantine approximation (II)
• Metric Simultaneous Diophantine Approximation
• Rational approximations to algebraic numbers
• The Duffin-Schaeffer conjecture with extra divergence

This page was built for publication: ZERO‐ONE LAWS IN SIMULTANEOUS AND MULTIPLICATIVE DIOPHANTINE APPROXIMATION