Title of article
On approximation of p-adic numbers by p-adic algebraic numbers
Author/Authors
V.V. Beresnevich، نويسنده , , V.I. Bernik، نويسنده , , E.I. Kovalevskaya، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
24
From page
33
To page
56
Abstract
During the last 10 years the classical Khintchine theorem on approximation of real numbers by rational numbers was generalized for integral polynomials of a fixed degree and for approximation by real algebraic numbers. In this paper we prove a complete analogue of the results for the p-adic case.
Keywords
Diophantine approximation , Metric theory of Diophantineapproximation , p-adic numbers , Khintchine type theorems
Journal title
Journal of Number Theory
Serial Year
2005
Journal title
Journal of Number Theory
Record number
715683
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