Displaying similar documents to “A note on simultaneous diophantine approximation.”

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.