Geodesic
An Ehrhart series formula for reflexive polytopes
The electronic journal of combinatorics, Tome 13 (2006)
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It is well known that for $P$ and $Q$ lattice polytopes, the Ehrhart polynomial of $P\times Q$ satisfies $L_{P\times Q}(t)=L_P(t)L_Q(t)$. We show that there is a similar multiplicative relationship between the Ehrhart series for $P$, for $Q$, and for the free sum $P\oplus Q$ that holds when $P$ is reflexive and $Q$ contains $0$ in its interior.
DOI : 10.37236/1153
Classification : 52B20, 52C07 
@article{10_37236_1153,
     author = {Benjamin Braun},
     title = {An {Ehrhart} series formula for reflexive polytopes},
     journal = {The electronic journal of combinatorics},
     year = {2006},
     volume = {13},
     doi = {10.37236/1153},
     zbl = {1109.52011},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1153/}
}
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Benjamin Braun. An Ehrhart series formula for reflexive polytopes. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1153

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