SEMI-CYCLOTOMIC POLYNOMIALS LEE, KI-SUK; LEE, JI-EUN; Kim, JI-HYE;
The n-th cyclotomic polynomial is irreducible over and has integer coefficients. The degree of is , where is the Euler Phi-function. In this paper, we define Semi-Cyclotomic Polynomial . is also irreducible over and has integer coefficients. But the degree of is . Galois Theory will be used to prove the above properties of .