Decomposition of primes in number fields defined by trinomials
Journal de théorie des nombres de Bordeaux, Volume 3 (1991) no. 1, p. 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 ${X}^{{p}^{m}}+AX+B\in ℤ\left[X\right]$, in terms of $A$ and $B$. We also compute effectively the discriminant of $K$.

Keywords: 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},
publisher = {Universit\'e Bordeaux I},
volume = {3},
number = {1},
year = {1991},
pages = {27-41},
zbl = {0733.11039},
mrnumber = {1116099},
language = {en},
url = {http://www.numdam.org/item/JTNB_1991__3_1_27_0}
}
Llorente, P.; Nart, E.; Vila, N. Decomposition of primes in number fields defined by trinomials. Journal de théorie des nombres de Bordeaux, Volume 3 (1991) no. 1, pp. 27-41. http://www.numdam.org/item/JTNB_1991__3_1_27_0/

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