An ehrhart series formula for reflexive polytopes

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20 Scopus citations


It is well known that for P and Q lattice polytopes, the Ehrhart polynomial of PxQ satisfies LPxQ(t) = LP (t)LQ(t). We show that there is a similar multiplicative relationship between the Ehrhart series for P, for Q, and for the free sum P ⊕ Q that holds when P is reflexive and Q contains 0 in its interior.

Original languageEnglish
Pages (from-to)1-5
Number of pages5
JournalElectronic Journal of Combinatorics
Issue number1 N
StatePublished - Oct 5 2006

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics


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