Decomposition of primes in number fields defined by trinomials

Llorente, P.; Nart, E.; Vila, N.

Llorente, P. ; Nart, E. ; Vila, N.

Séminaire de théorie des nombres de Bordeaux, Série 2, Tome 3 (1991) no. 1, pp. 27-41.

Résumé

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 $K$ .

MR Zbl

Mots clés : 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},
     publisher = {Universit\'e Bordeaux I},
     volume = {Ser. 2, 3},
     number = {1},
     year = {1991},
     mrnumber = {1116099},
     zbl = {0733.11039},
     language = {en},
     url = {http://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. http://www.numdam.org/item/JTNB_1991__3_1_27_0/

Bibliographie
Cité par

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