S-ARITHMETIC KHINTCHINE-TYPE THEOREM

被引：12

作者：

Mohammadi, Amir ^{[1
]}

Golsefidy, Alireza Salehi ^{[2
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2009年 / 19卷 / 04期

关键词：

Metric Diophantine approximation; S-arithmetic; Unipotent flow; DIOPHANTINE APPROXIMATION; HOMOGENEOUS SPACES; MANIFOLDS; FLOWS;

D O I：

10.1007/s00039-009-0029-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we prove a convergence S-arithmetic Khintchine-type theorem for the product of non-degenerate v-adic manifolds, where one of them is the Archimedean place.

引用

页码：1147 / 1170

页数：24

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