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Journal of the Ramanujan Mathematical Society

Volume 34, Issue 3, September 2019  pp. 281–289.

Divisibility of class numbers of certain families of quadratic fields

Authors:  Azizul Hoque and Kalyan Chakraborty
Author institution:Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211 019, India

Summary:  We construct some families of quadratic fields whose class numbers are divisible by 3. The main tools used are a trinomial introduced by Kishi and a parametrization of Kishi and Miyake of a family of quadratic fields whose class numbers are divisible by 3. At the end we compute class number of these fields for some small values~and verify our results.


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