Determination of all imaginary Abelian number fields with relative class numbers any $2$-power, which are composita of imaginary Abelian number fields with prime power conductors

Rok, strany: 1997, 43 - 58

- We prove that there are exactly $215$ such number fields, $35$ of them being cyclotomic number fields, and $112$ of them having relative class number one. The largest degree is $48$, the largest conductor is $120131 = 11· 67· 163$, the largest number of prime divisors of the conductor is $4$, and the largest relative class number is $2¹⁹$.

ISO 690:

Louboutin, S. 1997. Determination of all imaginary Abelian number fields with relative class numbers any $2$-power, which are composita of imaginary Abelian number fields with prime power conductors. In Tatra Mountains Mathematical Publications, vol. 11, no.2, pp. 43-58. 1210-3195.

APA:

Louboutin, S. (1997). Determination of all imaginary Abelian number fields with relative class numbers any $2$-power, which are composita of imaginary Abelian number fields with prime power conductors. Tatra Mountains Mathematical Publications, 11(2), 43-58. 1210-3195.