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arXiv · 1710.03662

Divisibility of the class numbers of imaginary quadratic fields

Kalyan Chakraborty·Azizul Hoque·Yasuhiro Kishi·Prem Prakash Pandey
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Abstract

For a given odd integer $n>1$, we provide some families of imaginary quadratic number fields of the form $\mathbb{Q}(\sqrt{x^2-t^n})$ whose ideal class group has a subgroup isomorphic to $\mathbb{Z}/n\mathbb{Z}$.

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Kalyan Chakraborty, Azizul Hoque, Yasuhiro Kishi, Prem Prakash Pandey. 2017-10-10. Divisibility of the class numbers of imaginary quadratic fields. https://arxiv.org/abs/1710.03662

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