Best simultaneous diophantine approximations and Levy's theorem

被引：2

作者：

Chevallier, N ^{[1
]}

机构：

[1] Univ Haute Alsace, F-68093 Mulhouse, France

来源：

ANNALES DE L INSTITUT FOURIER | 2005年 / 55卷 / 05期

关键词：

D O I：

10.5802/aif.2134

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

According to Levy's theorem, the denominators of the continued fraction expansion of a real number almost surely grow at most at the rate of a geometric series. We extend this estimate to best simultaneous Diophantine approximations to a set of linear forms.

引用

页码：1635 / +

页数：24

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