The distribution of rational points close to a smooth manifold and Hausdorff dimension
The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors
The Hausdorff dimension of sets arising in metric Diophantine approximation
The Hausdorff dimension of systems of linear forms
The -dimensional Duffin and Schaeffer conjecture
We show that the Duffin and Schaeffer conjecture holds in all dimensions greater than one.
The metric simultaneous diophantine approximations over formal power series
We discuss the metric theory of simultaneous diophantine approximations in the non-archimedean case. First, we show a Gallagher type 0-1 law. Then by using this theorem, we prove a Duffin-Schaeffer type theorem.
Twisted inhomogeneous Diophantine approximation and badly approximable sets