A KHINTCHINE–GROSHEV THEOREM FOR AFFINE HYPERPLANES

DOI10.1142/S1793042111004228zbMath1228.11112MaRDI QIDQ5198403

Anish Ghosh

Publication date: 8 August 2011

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

zbMATH Keywords

regular systemsDiophantine approximation on manifoldsflows on homogeneous spacesKhintchine--Groshev theorem.

Mathematics Subject Classification ID

Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

Related Items (8)

\(S\)-arithmetic inhomogeneous Diophantine approximation on manifolds ⋮ Diophantine Inheritance for $p$-adic measures ⋮ Number theory meets wireless communications: an introduction for dummies like us ⋮ The inhomogeneous Sprindžhuk conjecture over a local field of positive characteristic ⋮ Diophantine exponents and the Khintchine Groshev theorem ⋮ Multiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponents ⋮ Quantitative Diophantine approximation on affine subspaces ⋮ A Khintchine-type theorem for affine subspaces

Cites Work

• Diophantine exponents and the Khintchine Groshev theorem
• Metric Diophantine approximation over a local field of positive characteristic
• Flows on homogeneous spaces and Diophantine approximation on manifolds
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• Extremal subspaces and their submanifolds
• Metrische Sätze über simultane Approximation abhängiger Größen
• Diophantine approximation on affine hyperplanes
• An extension of quantitative nondivergence and applications to Diophantine exponents
• ACHIEVEMENTS AND PROBLEMS IN DIOPHANTINE APPROXIMATION THEORY
• A Khintchine-Type Theorem for Hyperplanes

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