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math.CO2016★ 16 cited
Interlacing Ehrhart Polynomials of Reflexive Polytopes
Akihiro Higashitani, Mario Kummer, Mateusz Michałek
It was observed by Bump et al. that Ehrhart polynomials in a special family exhibit properties similar to the Riemann ζ function. The construction was generalized by Matsui et al.…
math.CO2016
Lattice simplices of maximal dimension with a given degree
Akihiro Higashitani
It was proved by Nill that for any lattice simplex of dimension with degree which is not a lattice pyramid, the inequality holds. In this paper, we give a c…