Interlacing Ehrhart polynomials of reflexive polytopes

被引：14
|
作者：
Higashitani, Akihiro [1 ]
Kummer, Mario [2 ]
Michalek, Mateusz [2 ]
机构：
[1] Kyoto Sangyo Univ, Dept Math, Kita Ku, Kyoto 6038555, Japan
[2] Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig, Germany
来源：
SELECTA MATHEMATICA-NEW SERIES | 2017年 / 23卷 / 04期
关键词：
GROWTH SERIES; ROOTS;
D O I：
10.1007/s00029-017-0350-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It was observed by Bump et al. that Ehrhart polynomials in a special family exhibit properties shared by the Riemann function. The construction was generalized by Matsui et al. to a larger family of reflexive polytopes coming from graphs. We prove several conjectures confirming when such polynomials have zeros on a certain line in the complex plane. Our main new method is to prove a stronger property called interlacing.
引用
收藏
页码：2977 / 2998
页数：22
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