Metric inhomogeneous Diophantine approximation on the field of formal Laurent series

被引：13

作者：

Kim, Dong Han ^{[1
]}

Nakada, Hitoshi ^{[2
]}

机构：

[1] Dongguk Univ Seoul, Dept Math Educ, Seoul 100715, South Korea

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

来源：

ACTA ARITHMETICA | 2011年 / 150卷 / 02期

基金：

日本学术振兴会;

关键词：

formal Laurent series; inhomogeneous Diophantine approximation; irrational rotation; SHRINKING TARGET PROPERTY; ASYMPTOTIC-BEHAVIOR; NUMBER;

D O I：

10.4064/aa150-2-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：129 / 142

页数：14

共 15 条

[1]

[Anonymous], 1979, METRIC THEORY DIOPHA

[2] Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators [J].

Berthe, V. ;

Nakada, H. ;

Natsui, R. .

FINITE FIELDS AND THEIR APPLICATIONS, 2008, 14 (04) :849-866

[3]

Berthe V., 2000, Expo. Math., V18, P257

[4] Mixing in the absence of the shrinking target property [J].

Fayad, Bassam .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2006, 38 :829-838

[5] On metric diophantine approximation in the field of formal Laurent series [J].

Fuchs, M .

FINITE FIELDS AND THEIR APPLICATIONS, 2002, 8 (03) :343-368

[6] Metrical theorems for inhomogeneous Diophantine approximation in positive characteristic [J].

Fuchs, Michael .

ACTA ARITHMETICA, 2010, 141 (02) :191-208

[7] On metric Diophantine approximation in positive characteristic [J].

Inoue, K ;

Nakada, H .

ACTA ARITHMETICA, 2003, 110 (03) :205-218

[8] The shrinking target property of irrational rotations [J].

Kim, Dong Han .

NONLINEARITY, 2007, 20 (07) :1637-1643

[9] Quantitative recurrence properties for group actions [J].

Kim, Dong Han .

NONLINEARITY, 2009, 22 (01) :1-9

[10]

Kristensen S, 2011, MATH SCAND, V108, P55

← 1 2 →