arXiv Analytics

Sign in

arXiv:1712.07338 [math.NT]AbstractReferencesReviewsResources

Divisibility of class numbers of certain families of quadratic fields

Azizul Hoque, Kalyan Chakraborty

Published 2017-12-20Version 1

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.

Comments: 13 Pages, accepted for publication in Journal of the Ramanujan Mathematical Society, 2017
Categories: math.NT
Subjects: 11R29, 11R11
Related articles: Most relevant | Search more
arXiv:1906.09718 [math.NT] (Published 2019-06-24)
Lower bound for class number and a proof of Chowla and Yokoi's conjecture
arXiv:1212.1733 [math.NT] (Published 2012-12-07)
Notes on the divisibility of the class numbers of certain imaginary quadratic fields
arXiv:1805.03850 [math.NT] (Published 2018-05-10)
Asymptotic lower bound of class numbers along a Galois representation

Links

Toolbox