Geodesic
Simultaneous inhomogeneous Diophantine approximation of the values of integral polynomials with respect to Archimedean and non-Archimedean valuations
Communications in Mathematics, Tome 14 (2006) no. 1, pp. 37-42
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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 $(x,x^2,\ldots ,x^n)$ with respect to the different valuations. It is an extension of the author’s earlier results.
We prove an analogue of the convergence part of Khintchine’s theorem for the simultaneous inhomogeneous Diophantine approximation on the Veronese curve $(x,x^2,\ldots ,x^n)$ with respect to the different valuations. It is an extension of the author’s earlier results.
Classification : 11J61, 11J83, 11K60
Keywords: inhomogeneous Diophantine approximation; Khintchine type theorem; metric theory of Diophantine approximation; p-adic numbers 
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Kovalevskaya, Ella; Bernik, Vasily. Simultaneous inhomogeneous Diophantine approximation of the values of integral polynomials with respect to Archimedean and non-Archimedean valuations. Communications in Mathematics, Tome 14 (2006) no. 1, pp. 37-42. http://geodesic.mathdoc.fr/item/COMIM_2006_14_1_a5/

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