INHOMOGENEOUS DIOPHANTINE APPROXIMATION OVER FIELDS OF FORMAL POWER SERIES

被引：0

作者：

Bugeaud, Yann ^{[1
]}

Singhal, L. ^{[2
,3
]}

Zhang, Zhenliang ^{[4
]}

机构：

[1] Univ Strasbourg, 7 Rue Rene Descartes, F-67084 Strasbourg, France

[2] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China

[3] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

[4] Henan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Henan, Peoples R China

来源：

MATHEMATICA SCANDINAVICA | 2020年 / 126卷 / 03期

关键词：

EXPONENTS;

D O I：

10.7146/math.scand.a-121462

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a sharp analogue of Minkowski's inhomogeneous approximation theorem over fields of power series F-q((T-1)). Furthermore, we study the approximation to a given point (y) under bar in F-q((T-1))(2) by the SL2(F-q[T])-orbit of a given point (x) under bar in F-q((T-1))(2).

引用

页码：451 / 478

页数：28

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