CYCLOTOMIC POLYNOMIALS OF THE SECOND KIND

Javier Gomez-Calderon (USA) and Andrew Perriello (USA)

Received May 29, 2008

Abstract

Let be a primative dth root of unity. Let denote the polynomial In this paper we show a list of similarities between and the cyclotomic polynomial We provide a recursive method to determine calculate the discriminant of and state an expected integral basis for S.

Keywords and phrases: Dickson and cyclotomic polynomials.