A Finite Calculus Approach to Ehrhart Polynomials

A rational polytope is the convex hull of a finite set of points in R[superscript d] with rational coordinates. Given a rational polytope P⊆R[superscript d], Ehrhart proved that, for t∈Z≥[subscript 0[, the function #(tP∩Z[superscript d]) agrees with a quasi-polynomial L[subscript P](t), called the E...

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Bibliographic Details
Main Authors: Sam, Steven V., Woods, Kevin M.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Electronic Journal of Combinatorics 2014
Online Access:http://hdl.handle.net/1721.1/89809