\(S\)-arithmetic inhomogeneous Diophantine approximation on manifolds
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Publication:2125981
DOI10.1016/j.aim.2022.108239zbMath1500.11057arXiv1801.08848OpenAlexW2784481062MaRDI QIDQ2125981
Publication date: 14 April 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.08848
Metric theory (11J83) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Diophantine approximation in probabilistic number theory (11K60) Approximation in non-Archimedean valuations (11J61) Homogeneous flows (37A17) Relations between ergodic theory and number theory (37A44)
Related Items (4)
Diophantine Inheritance for $p$-adic measures ⋮ Khintchine's theorem for affine hyperplanes in positive charateristic ⋮ A quantitative Khintchine-Groshev theorem for \(S\)-arithmetic Diophantine approximation ⋮ Multiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponents
Cites Work
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- 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
- Simultaneous Diophantine approximation in non-degenerate \(p\)-adic manifolds
- On Diophantine approximations of dependent quantities in the \(p\)-adic case
- The method of trigonometric sums in the metric theory of diophantine approximations of dependent quantities
- A Groshev type theorem for convergence on manifolds
- Inhomogeneous theory of dual Diophantine approximation on manifolds
- Quantitative Diophantine approximation on affine subspaces
- Flows on \(S\)-arithmetic homogeneous spaces and applications to metric Diophantine approximation
- Extremal subspaces and their submanifolds
- On approximation of \(p\)-adic numbers by \(p\)-adic algebraic numbers
- \(S\)-arithmetic Khintchine-type theorem
- An inhomogeneous transference principle and Diophantine approximation
- Diophantine approximation on affine hyperplanes
- Diophantine approximation on subspaces of $\mathbb{R}^n$ and dynamics on homogeneous spaces
- APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION
- The inhomogeneous Sprindžhuk conjecture over a local field of positive characteristic
- Simultane diophantische Approximationen abhängiger Größen in mehreren Metriken
- Measure theoretic laws for lim sup sets
- Multiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponents
- The Metric Theory of p-Adic Approximation
- Simultaneous Diophantine approximation in the real, complex and p–adic fields.
- ACHIEVEMENTS AND PROBLEMS IN DIOPHANTINE APPROXIMATION THEORY
- Remarks on Diophantine approximation in function fields
- Inhomogeneous diophantine approximation on polynomials in $ℚ_p$
- Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents
- Diophantine Inheritance for $p$-adic measures
- Inhomogeneous Dual Diophantine Approximation on Affine Subspaces
- A KHINTCHINE–GROSHEV THEOREM FOR AFFINE HYPERPLANES
- A Khintchine-Type Theorem for Hyperplanes
- On Diophantine transference principles
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