No abstract

Abstract. The decomposition of the rational primes in a cubic field K is determined in terms of the coefficients of a defining polynomial of K. As a consequence, the discriminant D of K is straightforwardly computed and the cubic fields with index i(K) = 2 are easily characterized.

No abstract

Abstract. The decomposition of the rational primes in a cubic field K is determined in terms of the coefficients of a defining polynomial of K. As a consequence, the discriminant D of K is straightforwardly computed and the cubic fields with index i(K) = 2 are easily characterized.

Abstract. In this paper the authors announce a table of the 4753 totally real nonconjugate nonabelian cubic fields with discriminant less than 100000. Each field is given by its discriminant, the coefficients of a generating polynomial and the index of this polynomial over the field. A basis of the integers of the field is also given. Some differences with other tables are pointed out.