Decomposition of primes in number fields defined by trinomials

P. Llorente; E. Nart; N. Vila

doi:10.5802/jtnb.40

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 1116099 | Zbl 0733.11039

DOI : https://doi.org/10.5802/jtnb.40
Mots clés : decomposition of primes, discriminant, trinomials

@article{JTNB_1991__3_1_27_0,
     author = {Llorente, P. and Nart, Enric and Vila, N\'uria},
     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},
     doi = {10.5802/jtnb.40},
     zbl = {0733.11039},
     mrnumber = {1116099},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.40/}
}

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. doi : 10.5802/jtnb.40. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.40/

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