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).
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页码：451 / 478
页数：28
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