ON THE -RANK OF CLASS GROUPS OF DIRICHLET BIQUADRATIC FIELDS
Abstract We show that for $100\%$ of the odd, square free integers $n> 0$ , the $4$ -rank of $\text {Cl}(\mathbb{Q} (i, \sqrt {n}))$ is equal to $\omega _3(n) - 1$ , where $\omega _3$ is the number of prime divisors of n that are $3$ modulo $4$ .
1988 ◽
Vol 29
(1)
◽
pp. 94-99
◽
1992 ◽
Vol 44
(6)
◽
pp. 1121-1154
◽
2014 ◽
Vol 57
(10)
◽
pp. 2103-2110
◽
Keyword(s):
1987 ◽
Vol 102
(3)
◽
pp. 431-441
◽
Keyword(s):