A graph arising in the Geometry of Numbers

التفاصيل البيبلوغرافية
العنوان: A graph arising in the Geometry of Numbers
المؤلفون: Schmidt, Wolfgang M., Summerer, Leonhard
سنة النشر: 2020
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Number Theory
الوصف: The parametric geometry of numbers has allowed to visualize the simultaneous approximation properties of a collection of real numbers through the combined graph of the related successive minima functions. Several inequalities among classical exponents of simultaneous approximation can be guessed by a study of these graphs; in particular the so called regular graph is of major importance as it provides an extremal case for some of these inequalities. The aim of this paper is to define and construct an analogue of the regular graph in the case of weighted simultaneous approximation.
Comment: 8 pages, 2 figures
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/2008.10252Test
رقم الانضمام: edsarx.2008.10252
قاعدة البيانات: arXiv