Simultaneous p-adic Diophantine approximation
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Publication:6098467
DOI10.1017/s0305004122000470zbMath1526.11039arXiv2101.05251OpenAlexW3120265492MaRDI QIDQ6098467
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Publication date: 14 June 2023
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.05251
Diophantine approximation\(p\)-adic numbersKhintchine's theoremDuffin-Schaeffer theoremJarník-Besicovitch theorem
Cites Work
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- Simultaneous Diophantine approximation in the real and \(p\)-adic fields with nonmonotonic error function
- Inhomogeneous Diophantine approximation on planar curves
- Explicit bounds for rational points near planar curves and metric Diophantine approximation
- Rational points near manifolds and metric Diophantine approximation
- A note on simultaneous Diophantine approximation on planar curves
- 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
- Diophantine approximation on curves and the distribution of rational points: contributions to the divergence theory
- On simultaneous rational approximation to a real number and its integral powers. II.
- The density of rational points near hypersurfaces
- Mass transference principle from rectangles to rectangles in Diophantine approximation
- Rational points near planar curves and Diophantine approximation
- A general mass transference principle
- Flows on \(S\)-arithmetic homogeneous spaces and applications to metric Diophantine approximation
- A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
- 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
- On approximation of \(p\)-adic numbers by \(p\)-adic algebraic numbers
- Khintchine's problem in metric diophantine approximation
- Khintchine types of translated coordinate hyperplanes
- p-Adic Lie Groups
- On simultaneous rational approximation to ap-adic number and its integral powers
- A mass transference principle for systems of linear forms and its applications
- Measure theoretic laws for lim sup sets
- A lower bound for the Hausdorff dimension of the set of weighted simultaneously approximable points over manifolds
- Multiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponents
- The Metric Theory of p-Adic Approximation
- SIMULTANEOUS DIOPHANTINE APPROXIMATION ON POLYNOMIAL CURVES
- Schmidt's theorem, Hausdorff measures, and slicing
- ON THE SPECTRUM OF DIOPHANTINE APPROXIMATION CONSTANTS
- A note on zero-one laws in metrical Diophantine approximation
- Simultaneous Diophantine approximation in the real, complex and p–adic fields.
- Two definitions of fractional dimension
- Hausdorff Dimension and Generalized Simultaneous Diophantine Approximation
- Metric Diophantine Approximation: Aspects of Recent Work
- DIOPHANTINE APPROXIMATION ON MANIFOLDS AND LOWER BOUNDS FOR HAUSDORFF DIMENSION
- Diophantine Approximation on Manifolds and the Distribution of Rational Points: Contributions to the Convergence Theory
- Some manifolds of Khinchin type for convergence
- Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
- On simultaneous rational approximation to a p-adic number and its integral powers, II
- Simultaneous Approximation on Affine Subspaces
- Diophantine Inheritance for $p$-adic measures
- Diophantine approximation on the parabola with non-monotonic approximation functions
- Mass transference principle for limsup sets generated by rectangles
- Diophantine approximation on polynomial curves
- A NOTE ON SIMULTANEOUS AND MULTIPLICATIVE DIOPHANTINE APPROXIMATION ON PLANAR CURVES
- A note on the Borel-Cantelli lemma
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