On approximation of p-adic numbers by p-adic algebraic numbers

被引：19

作者：

Beresnevich, VV ^{[1
]}

Bernik, VI ^{[1
]}

Kovalevskaya, EI ^{[1
]}

机构：

[1] Natl Belarus Acad Sci, Inst Math, Minsk 220072, BELARUS

来源：

JOURNAL OF NUMBER THEORY | 2005年 / 111卷 / 01期

关键词：

diophantine approximation; Khintchine type theorems; metric theory of diophantine approximation; p-adic numbers;

D O I：

10.1016/j.jnt.2004.09.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2004 Published by Elsevier Inc.

引用

页码：33 / 56

页数：24

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