Minkowski's successive minima and the zeros of a convexity-function
type: Item
instance of: scholarly article
title: Minkowski's successive minima and the zeros of a convexity-function
zbMATH Open document ID: 0712.52016
DOI: 10.1007/BF01302936
author: D. Kharzeev
published in: Monatshefte für Mathematik
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178467
review text: For a convex body \(K\subset E^ d\) let \(V_ i(K)\), \(i=0,1,...,d\) denote its normalized quermassintegrals. It is shown that there are several inequalities between the zeros of the polynomial \(W(\lambda K)=\sum^{d}_{i=0}V_ i(\lambda K)=\sum^{d}_{i=0}V_ i(K)\lambda^ i\) and Minkowski's successive minima.
Mathematics Subject Classification ID: 52C07
Mathematics Subject Classification ID: 11H06
Mathematics Subject Classification ID: 14L35
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 4171856
zbMATH Keywords: normalized quermassintegrals
zbMATH Keywords: inequalities
zbMATH Keywords: Minkowski's successive minima
reviewed by: Jörg M. Wills
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4171856