Divisibility of class numbers of certain families of quadratic fields

Publications

Divisibility of class numbers of certain families of quadratic fields

Year : 2019

Publisher : Ramanujan Mathematical Society

Source Title : Journal of the Ramanujan Mathematical Society

Document Type :

Abstract

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.