Abstract
Let $g \geq 2$ and $n \geq 1$ be integers. In this paper, we shall show that there are infinitely many imaginary quadratic fields whose class number is divisible by $2g$ and whose discriminant has only two prime divisors. As a corollary, we shall show that there are infinitely many imaginary quadratic fields whose 2-class group is a cyclic group of order divisible by $2^{n}$.
Citation
Dongho Byeon. Shinae Lee. "Divisibility of class numbers of imaginary quadratic fields whose discriminant has only two prime factors." Proc. Japan Acad. Ser. A Math. Sci. 84 (1) 8 - 10, January 2008. https://doi.org/10.3792/pjaa.84.8
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