Decomposition of primes in number fields defined by trinomials

Llorente, P., Nart, E., and Vila, N.. "Decomposition of primes in number fields defined by trinomials." Journal de théorie des nombres de Bordeaux 3.1 (1991): 27-41. <http://eudml.org/doc/93534>.

@article{Llorente1991,
abstract = {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 $X^\{p^m\} + AX + B \in \mathbb \{Z\}[X]$, in terms of $A$ and $B$. We also compute effectively the discriminant of $K$.},
author = {Llorente, P., Nart, E., Vila, N.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {decomposition of primes; discriminant; trinomials; trinomial; prime ideal decomposition; Newton's polygon},
language = {eng},
number = {1},
pages = {27-41},
publisher = {Université Bordeaux I},
title = {Decomposition of primes in number fields defined by trinomials},
url = {http://eudml.org/doc/93534},
volume = {3},
year = {1991},
}

TY - JOUR
AU - Llorente, P.
AU - Nart, E.
AU - Vila, N.
TI - Decomposition of primes in number fields defined by trinomials
JO - Journal de théorie des nombres de Bordeaux
PY - 1991
PB - Université Bordeaux I
VL - 3
IS - 1
SP - 27
EP - 41
AB - 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 $X^{p^m} + AX + B \in \mathbb {Z}[X]$, in terms of $A$ and $B$. We also compute effectively the discriminant of $K$.
LA - eng
KW - decomposition of primes; discriminant; trinomials; trinomial; prime ideal decomposition; Newton's polygon
UR - http://eudml.org/doc/93534
ER -