Divisibility of class numbers of certain families of quadratic fields

Azizul Hoque; Kalyan Chakraborty

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arXiv · 1712.07338

Divisibility of class numbers of certain families of quadratic fields

Azizul Hoque·Kalyan Chakraborty

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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.

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Azizul Hoque, Kalyan Chakraborty. 2017-12-20. Divisibility of class numbers of certain families of quadratic fields. https://arxiv.org/abs/1712.07338

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