تقرير
Mahler's work on the geometry of numbers
| العنوان: | Mahler's work on the geometry of numbers |
|---|---|
| المؤلفون: | Evertse, Jan-Hendrik |
| المصدر: | Documenta Mathematica, Extra Vol., Mahler Selecta (2019) 29-43 |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - History and Overview, Mathematics - Number Theory, 11H06, 11H16, 11H60 |
| الوصف: | Mahler has written many papers on the geometry of numbers. Arguably, his most influential achievements in this area are his compactness theorem for lattices, his work on star bodies and their critical lattices, and his estimates for the successive minima of reciprocal convex bodies and compound convex bodies. We give a, by far not complete, overview of Mahler's work on these topics and their impact. Comment: 17 pages. This paper will appear in "Mahler Selecta", a volume dedicated to the work of Kurt Mahler and its impact |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1806.00356 |
| رقم الأكسشن: | edsarx.1806.00356 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |