Density of rational points near/on compact manifolds with certain curvature conditions
From MaRDI portal
Publication:2143658
DOI10.1016/j.aim.2022.108358zbMath1498.11104arXiv2103.05281OpenAlexW3134093460MaRDI QIDQ2143658
Shuntaro Yamagishi, Damaris Schindler
Publication date: 31 May 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.05281
Diophantine inequalities (11D75) Diophantine inequalities (11J25) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symmetric determinantal representation of polynomials
- Polynomials with and without determinantal representations
- A quantitative Oppenheim theorem for generic diagonal quadratic forms
- Rational points near manifolds and metric Diophantine approximation
- The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
- The dimension growth conjecture, polynomial in the degree and without logarithmic factors
- The density of rational points near hypersurfaces
- Rational points near planar curves and Diophantine approximation
- Rational points of bounded height on projective surfaces
- 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
- Counting rational points on algebraic varieties
- Diophantine approximation on planar curves: the convergence theory
- Bounded Rational Points on Curves
- ON STABLY FREE MODULES
- Diophantine Approximation on Manifolds and the Distribution of Rational Points: Contributions to the Convergence Theory
- A note on a paper by R. Heath-Brown: The density of rational points on curves and surfaces
- Perturbations, deformations, and variations (and “near-misses") in geometry, physics, and number theory
- Diophantine Inequalities for Generic Ternary Diagonal Forms
- The density of integral points on hypersurfaces of degree at least four
- Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions
- On the density of rational and integral points on algebraic varieties
- Counting rational points on hypersurfaces
- THE DENSITY OF RATIONAL POINTS ON NON-SINGULAR HYPERSURFACES, I
- THE DENSITY OF RATIONAL POINTS ON NON-SINGULAR HYPERSURFACES, II
- Vector fields on spheres
This page was built for publication: Density of rational points near/on compact manifolds with certain curvature conditions
