no. 1
Decomposition of primes in number fields defined by trinomials
Séminaire de théorie des nombres de Bordeaux, Série 2, Tome 3 (1991) no. 1, pp. 27-41

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.

Keywords: decomposition of primes, discriminant, trinomials 
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     author = {Llorente, P. and Nart, E. and Vila, N.},
     title = {Decomposition of primes in number fields defined by trinomials},
     journal = {S\'eminaire de th\'eorie des nombres de Bordeaux},
     pages = {27--41},
     year = {1991},
     publisher = {Universit\'e Bordeaux I},
     volume = {Ser. 2, 3},
     number = {1},
     mrnumber = {1116099},
     zbl = {0733.11039},
     language = {en},
     url = {https://www.numdam.org/item/JTNB_1991__3_1_27_0/}
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Llorente, P.; Nart, E.; Vila, N. Decomposition of primes in number fields defined by trinomials. Séminaire de théorie des nombres de Bordeaux, Série 2, Tome 3 (1991) no. 1, pp. 27-41. https://www.numdam.org/item/JTNB_1991__3_1_27_0/

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