METRIC DIOPHANTINE APPROXIMATION: THE KHINTCHINE-GROSHEV THEOREM FOR NONDEGENERATE MANIFOLDS

被引：49
作者：
Beresnevich, V. V. [1 ]
Bernik, V. I. [1 ]
Kleinbock, D. Y. [2 ]
Margulis, G. A. [3 ]
机构：
[1] Natl Belarus Acad Sci, Inst Math, Dept Number Theory, Minsk 220072, BELARUS
[2] Brandeis Univ, Dept Math, Waltham, MA 02454 USA
[3] Yale Univ, Dept Math, New Haven, CT 06520 USA
来源：
MOSCOW MATHEMATICAL JOURNAL | 2002年 / 2卷 / 02期
关键词：
Diophantine approximation; Khintchine type theorems; metric theory of Diophantine approximation;
D O I：
10.17323/1609-4514-2002-2-2-203-225
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main objective of this paper is to prove a Khintchine type theorem on divergence of linear Diophantine approximation on non-degenerate manifolds, which completes earlier results for convergence.
引用
收藏
页码：203 / 225
页数：23
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