%0 Journal Article
%T A bijective proof for a theorem of Ehrhart
%A Steven V Sam
%J Mathematics
%D 2008
%I arXiv
%R 10.4169/193009709X460813
%X We give a new proof for a theorem of Ehrhart regarding the quasi-polynomiality of the function that counts the number of integer points in the integral dilates of a rational polytope. The proof involves a geometric bijection, inclusion-exclusion, and recurrence relations, and we also prove Ehrhart reciprocity using these methods.
%U http://arxiv.org/abs/0801.4432v5