Decomposition of primes in number fields defined by trinomials

P. Llorente; E. Nart; N. Vila

P. Llorente ; E. Nart ; N. Vila

Journal de théorie des nombres de Bordeaux, 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 = {P. Llorente and E. Nart and N. Vila},
     title = {Decomposition of primes in number fields defined by trinomials},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {27--41},
     publisher = {Universit\'e Bordeaux I},
     volume = {3},
     number = {1},
     year = {1991},
     zbl = {0733.11039},
     mrnumber = {1116099},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/item/JTNB_1991__3_1_27_0/}
}

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P. Llorente; E. Nart; N. Vila. Decomposition of primes in number fields defined by trinomials. Journal de théorie des nombres de Bordeaux, Tome 3 (1991) no. 1, pp. 27-41. https://jtnb.centre-mersenne.org/item/JTNB_1991__3_1_27_0/

Bibliographie
Cité par

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