An algorithm for a modified computation of Dedekind sums.

The purpose of this paper is to present an algorithm that compute Dedekind sums s(a, b) .This algorithm implemented by using essential definition of Dedekind sum .since these sums arise in the theory of modular forms and in number theory as well as in various other areas of mathematics. These sums are rational numbers and a table of the exact values is given. Some applications for the important of Dedekind sums were presented. [ABSTRACT FROM AUTHOR]