Displaying similar documents to “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

Ella I. Kovalevskaya, Vasily Bernik (2006)

Acta Mathematica Universitatis Ostraviensis

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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.