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

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• 作者：Dmitry Kleinbock^a ; ^{kleinboc@brandeis.edu} ; Ronggang Shi^b ; ^{ronggang@xmu.edu.cn} ; George Tomanov^c ; ^{tomanov@math.univ-lyon1.fr}
• 关键词：primary ; 11H06 ; secondary ; 22E40
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：May 2017
• 年：2017
• 卷：174
• 期：Complete
• 页码：150-163
• 全文大小：345 K
• 卷排序：174

文摘

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.