# 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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