Abstract
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.
- Title
- S-adic version of Minkowski's geometry of numbers and Mahler's compactness criterion
- Creators
- Dmitry Kleinbock - Brandeis University, Department of MathematicsRonggang Shi - School of Mathematical Sciences, Xiamen University, Xiamen 361005, PR ChinaGeorge Tomanov - Institut Camille Jordan, Université Claude Bernard-Lyon 1, Bâtiment de Mathématiques, 43, Bld. du 11 Novembre 1918, 69622 Villeurbanne cedex, France
- Publication Details
- Journal of number theory, Vol.174, pp.150-163
- Publisher
- Elsevier Inc
- Grant note
- BAS 20720160006 / Fundamental Research Funds for the Central Universities DMS-1600814; DMS-0072565; DMS-0232463 / NSF (http://dx.doi.org/10.13039/100000001)
- Identifiers
- 9924086390701921
- Academic Unit
- Department of Mathematics
- Language
- English
- Resource Type
- Journal article