A remark about Mahler's conjecture and the maximum value of box splines
Metric Geometry
2009-01-06 v2 Combinatorics
Numerical Analysis
Abstract
In this paper, we recast a special case of Mahler'c conjecture by the maximum value of box splines. This is the case of polytopes with at most facets. An asymptotic formula for univariate box splines is given. Based on the formula, Mahler's conjecture is proved in this case provided is big enough.
Cite
@article{arxiv.0812.4284,
title = {A remark about Mahler's conjecture and the maximum value of box splines},
author = {Zhiqiang Xu},
journal= {arXiv preprint arXiv:0812.4284},
year = {2009}
}