Small class number fields in the family $\mathbb{Q}(\sqrt{9m^2+4m})$
Number Theory
2023-05-15 v1
Abstract
We study the class number one problem for real quadratic fields , where is an odd integer. We show that for there is only one such field with class number one and only one such field with class number two.
Cite
@article{arxiv.2005.12646,
title = {Small class number fields in the family $\mathbb{Q}(\sqrt{9m^2+4m})$},
author = {Nimish Mahapatra and Prem Prakash Pandey and Mahesh Ram},
journal= {arXiv preprint arXiv:2005.12646},
year = {2023}
}
Comments
20 pages. Comments are welcome