ON FINDING THE COEFFICIENTS cd-3 OF THE EHRHARTPOLYNOMIALS OF A POLYHEDRON IN Âd

Abstract

Computing the volume and integral points of a polyhedron in is a very important subject in different areas of mathematics, such as: number theory, toric Hilbert functions, Kostant's partition function in representation theory, Ehrhart polynomial in combinatorics, cryptography, integer programming, statistical contingency and mass spectroscope analysis.Therefore a method for finding the coefficients of this polynomial are to be listed. A program in visual basic language is made for finding the general differentiation of the function that used for finding the coefficients of the Ehrhart polynomial which illustrated by a flow chart in Fig.(1).