-adic variant of the convergence Khintchine theorem for curves over
Simultaneous approximation of zero by values of integral polynomials with respect to different valuations
Simultaneous inhomogeneous Diophantine approximation of the values of integral polynomials with respect to Archimedean and non-Archimedean valuations
We prove an analogue of the convergence part of Khintchine’s theorem for the simultaneous inhomogeneous Diophantine approximation on the Veronese curve with respect to the different valuations. It is an extension of the author’s earlier results.
The distribution of rational points close to a smooth manifold and Hausdorff dimension
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