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Decomposition of primes in number fields defined by trinomials

P. Llorente; E. Nart; N. Vila — 1991

Journal de théorie des nombres de Bordeaux

In this paper we deal with the problem of finding the prime-ideal decomposition of a prime integer in a number field $K$ defined by an irreducible trinomial of the type $X^{p^{m}} + A X + B \in ℤ [X]$ , in terms of $A$ and $B$ . We also compute effectively the discriminant of $K$ .

Discriminants of number fields defined by trinomials

P. Llorente; E. Nart; N. Vila — 1984

Acta Arithmetica

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