Kalyan Chakraborty, Azizul Hoque, Yasuhiro Kishi, Prem Prakash Pandey
Published 2017-10-10Version 1
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 $\mathbb{Z}/n\mathbb{Z}$.
Comments: 10 pages, accepted for publication in Journal of Number Theory (2017)
On the divisibility of the class numbers and discriminants of imaginary quadratic fields
On the $p$-divisibility of class numbers of an infinite family of imaginary quadratic fields $\mathbb{Q} (\sqrt{d})$ and $\mathbb{Q} (\sqrt{d+1}).$
Notes on the divisibility of the class numbers of certain imaginary quadratic fields
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