Ehrhart polynomial roots and stanley's non-negativity theorem

被引：0

作者：

Braun, Benjamin ^{[1
]}

Develin, Mike ^{[2
]}

机构：

[1] Washington Univ, Dept Math, St Louis, MO 63130 USA

[2] Amer Inst Math, Palo Alto, CA 94306 USA

来源：

INTEGER POINTS IN POLYHEDRA - GEOMETRY, NUMBER THEORY, REPRESENTATION THEORY, ALGEBRA, OPTIMIZATION, STATISTICS | 2008年 / 452卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Stanley's non-negativity theorem is at the heart of many of the results in Ehrhart theory. In this paper, we analyze the root behavior of general polynomials satisfying the conditions of Stanley's theorem and compare this to the known root behavior of Ehrhart polynomials. We provide a possible counterexample to a conjecture of the second author, M. Beck, J. De Loera, J. Pfeifle, and R. Stanley, and contribute some experimental data as well.

引用

页码：67 / +

页数：2

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