S-adic version of Minkowski's geometry of numbers and Mahler's compactness criterion

JOURNAL OF NUMBER THEORY

卷:174

Article

Kleinbock, Dmitry¹  Shi, Ronggang²  Tomanov, George³ 

[1] Brandeis Univ, Dept Math, Waltham, MA 02454 USA

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[3] Univ Claude Bernard Lyon 1, Inst Camille Jordan, Batiment Math 43,Bld 11 Novembre 1918, F-69622 Villeurbanne, France

关键词: Successive minima;    Mahler's criterion;    Homogeneous space;   

DOI  :  10.1016/j.jnt.2016.10.016

来源: Elsevier

【 摘 要 】

In this note we give a detailed proof of certain results on geometry of numbers in the S-adic case. These results are well-known to experts, so the aim here is to provide a convenient reference for the people who need to use them. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free