On the number of lattice points in n-dimensional space with an application.

The principal aim of this work is to provide a proof of a theorem that computes the coefficients of the Ehrhart polynomial in general form. An application for this computation in any dimension is given along with the procedure to calculate the number of lattice points in n-dimensional space with the aid of the Ehrhart polynomial of the output PQ, for two polytopes P and Q whose dimensions are n and m, respectively. [ABSTRACT FROM AUTHOR]