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Simultaneous inhomogeneous Diophantine approximation of the values of integral polynomials with respect to Archimedean and non-Archimedean valuations

Ella I. Kovalevskaya; Vasily Bernik — 2006

Acta Mathematica Universitatis Ostraviensis

We prove an analogue of the convergence part of Khintchine’s theorem for the simultaneous inhomogeneous Diophantine approximation on the Veronese curve $(x, x^{2}, ..., x^{n})$ with respect to the different valuations. It is an extension of the author’s earlier results.

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