Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators

被引：3

作者：

Berthe, V. ^{[1
]}

Nakada, H. ^{[2
]}

Natsui, R. ^{[3
]}

机构：

[1] Univ Montpellier 2, LIRMM, CNRS, F-34392 Montpellier, France

[2] Keio Univ, Dept Math, Kohoku Ku, Yokohama, Kanagawa 2238522, Japan

[3] Japan Womens Univ, Dept Math, Bunkyou Ku, Tokyo 1128681, Japan

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2008年 / 14卷 / 04期

关键词：

Laurent formal power series; Metric Diophantine approximation; Strong law of large numbers;

D O I：

10.1016/j.ffa.2008.03.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider metric results for the asymptotic behavior of the number of solutions of Diophantine approximation inequalities with restricted denominators for Laurent formal power series with coefficients in a finite field. We especially consider approximations by rational functions whose denominators are powers of irreducible polynomials, and study the strong law of large numbers for the number of solutions of the inequalities under consideration. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：849 / 866

页数：18

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