Artículos de revistas
On computing discriminants of subfields of Q(zeta(pr))
Fecha
2002-10-01Registro en:
Journal of Number Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 96, n. 2, p. 319-325, 2002.
0022-314X
10.1006/jnth.2002.2796
WOS:000178794500006
Autor
Universidade Estadual Paulista (Unesp)
Universidade Federal do Ceará (UFC)
Institución
Resumen
The conductor-discriminant formula, namely, the Hasse Theorem, states that if a number field K is fixed by a subgroup H of Gal(Q(zeta(n))/Q), the discriminant of K can be obtained from H by computing the product of the conductors of all characters defined modulo n which are associated to K. By calculating these conductors explicitly, we derive a formula to compute the discriminant of any subfield of Q(zeta(p)r), where p is an odd prime and r is a positive integer. (C) 2002 Elsevier B.V. (USA).