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}, doi = {10.5802/jtnb.40}, zbl = {0733.11039}, mrnumber = {1116099}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.40/} }
TY - JOUR TI - Decomposition of primes in number fields defined by trinomials JO - Journal de Théorie des Nombres de Bordeaux PY - 1991 DA - 1991/// SP - 27 EP - 41 VL - 3 IS - 1 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.40/ UR - https://zbmath.org/?q=an%3A0733.11039 UR - https://www.ams.org/mathscinet-getitem?mr=1116099 UR - https://doi.org/10.5802/jtnb.40 DO - 10.5802/jtnb.40 LA - en ID - JTNB_1991__3_1_27_0 ER -
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. doi : 10.5802/jtnb.40. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.40/
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