Dirichlet's theorem and diophantine approximation on manifolds

DOI10.1016/0022-314X(90)90006-DzbMath0716.11029MaRDI QIDQ752751

J. A. G. Vickers, Bryan P. Rynne, Maurice M. Dodson

Publication date: 1990

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

zbMATH Keywords

Dirichlet's theorem of simultaneous approximation

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Diophantine approximation in probabilistic number theory (11K60) Homogeneous approximation to one number (11J04)

Related Items

Singular vectors on manifolds and fractals ⋮ Equidistribution of expanding translates of curves and Dirichlet's theorem on Diophantine approximation ⋮ Limit distributions of expanding translates of shrinking submanifolds and non-improvability of Dirichlet's approximation theorem ⋮ KAM-stable Hamiltonians ⋮ Expanding translates of curves and Dirichlet-Minkowski theorem on linear forms ⋮ Rational approximation and arithmetic progressions

Cites Work

• Metric Diophantine approximation and Hausdorff dimension on manifolds
• Khintchine-type theorems on manifolds
• Dirichlet's theorem on diophantine approximation
• Dirichlet's theorem on diophantine approximation. II
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