arXiv Analytics

Sign in

arXiv:1902.05250 [math.NT]AbstractReferencesReviewsResources

A Classification of order $4$ class groups of $\mathbb{Q}{(\sqrt{n^2+1})}$

Kalyan Chakraborty, Azizul Hoque, Mohit Mishra

Published 2019-02-14Version 1

We classify all order 4 class groups of the family of real quadratic fields $\mathbb{Q}{(\sqrt{n^2+1})}$. The main tools used are special values of Dedekind zeta functions attached to these fields and generalized Dedekind sum.

Comments: 11 Pages
Categories: math.NT
Subjects: 11R29, 11R42, 11R11
Related articles: Most relevant | Search more
arXiv:2003.06546 [math.NT] (Published 2020-03-14)
On $p$-class groups of relative cyclic $p$-extensions
arXiv:2412.07701 [math.NT] (Published 2024-12-10, updated 2025-01-05)
$\ell$-Torsion in Class Groups via Dirichlet $L$-functions
arXiv:2407.19554 [math.NT] (Published 2024-07-28)
On the average size of $3$-torsion in class groups of $C_2 \wr H$-extensions

Links

Toolbox