An inhomogeneous Jarnik theorem

被引：15
作者：
Bugeaud, Y [1 ]
机构：
[1] Univ Strasbourg, UFR Math, F-67084 Strasbourg, France
来源：
JOURNAL D ANALYSE MATHEMATIQUE | 2004年 / 92卷 / 1期
关键词：
D O I：
10.1007/BF02787766
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute the generalized Hausdorff measure of sets of points in R-s which satisfy an inhomogeneous system of Diophantine inequalities infinitely often. This provides an inhomogeneous analogue of a classical result of Jarnik on simultaneous Diophantine approximation.
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页码：327 / 349
页数：23
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