Application of Bi-evolution programming to testing cyclotomic polynomials

Abstract

This paper presents a new method to test cyclotomic polynomials with Bi-evolution programming based on some existing problems in using traditional methods to test cyclotomic polynomials. The method uses the fact that all the roots moment of a cyclotomic polynomial are roots of unity. Numerical computation results indicate that the algorithm offers an effective way to cyclotomic polynomials, high convergence rate and high accuracy.