In this paper we deal with the problem of finding the prime-ideal decomposition of a prime integer in a number field defined by an irreducible trinomial of the type , in terms of and . We also compute effectively the discriminant of .
@article{JTNB_1991__3_1_27_0, 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/} }
TY - JOUR AU - P. Llorente AU - E. Nart AU - N. Vila TI - Decomposition of primes in number fields defined by trinomials JO - Journal de théorie des nombres de Bordeaux PY - 1991 SP - 27 EP - 41 VL - 3 IS - 1 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/item/JTNB_1991__3_1_27_0/ LA - en ID - JTNB_1991__3_1_27_0 ER -
%0 Journal Article %A P. Llorente %A E. Nart %A N. Vila %T Decomposition of primes in number fields defined by trinomials %J Journal de théorie des nombres de Bordeaux %D 1991 %P 27-41 %V 3 %N 1 %I Université Bordeaux I %U https://jtnb.centre-mersenne.org/item/JTNB_1991__3_1_27_0/ %G en %F JTNB_1991__3_1_27_0
P. Llorente; E. Nart; N. Vila. Decomposition of primes in number fields defined by trinomials. Journal de théorie des nombres de Bordeaux, Volume 3 (1991) no. 1, pp. 27-41. https://jtnb.centre-mersenne.org/item/JTNB_1991__3_1_27_0/
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