Integral points close to a space curve

Abstract

We establish sharp lower and upper bounds for the number of integral points near dilations of a space curve with nowhere vanishing torsion.

arXiv commentIncorporated referee's suggestions, to appear in Mathematische Annalen

References in corpus (4)

• Diophantine approximation on planar curves: the convergence theory
• Simultaneous approximation on affine subspaces
• Diophantine approximation on the parabola with non-monotonic approximation functions
• Diophantine approximation on curves and the distribution of rational points: divergence theory

Cited by in corpus (1)

• Diophantine approximation on the parabola with non-monotonic approximation functions