Interlacing Ehrhart polynomials of reflexive polytopes

Akihiro Higashitani, Mario Kummer*, Mateusz Michalek

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)2977-2998
Number of pages22
JournalSELECTA MATHEMATICA: NEW SERIES
Volume23
Issue number4
DOIs
Publication statusPublished - Oct 2017
MoE publication typeA1 Journal article-refereed

Keywords

  • ROOT LATTICES
  • GROWTH SERIES

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