A remark about Mahler's conjecture and the maximum value of box splines

Details A remark about Mahler's conjecture and the maximum value of box splines A remark about Mahler's conjecture and the maximum value of box splines

2008-12-22

arxiv.org/abs/0812.4284v2

Mathematics

Metric Geometry

Scientific paper

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 $2n+2$ facets.
An asymptotic formula for univariate box splines is given. Based on the
formula, Mahler's conjecture is proved in this case provided $n$ is big enough.

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