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Decomposition of primes in number fields defined by trinomials

Decomposition of primes in number fields defined by trinomials

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 +AX+B∈ℤ[X], in terms of A and B. We also compute effectively the discriminant of K.