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arXiv · 2005.12646

Small class number fields in the family $\mathbb{Q}(\sqrt{9m^2+4m})$

Nimish Mahapatra·Prem Prakash Pandey·Mahesh Ram
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Abstract

We study the class number one problem for real quadratic fields $\mathbb{Q}(\sqrt{9m^2+ 4m})$, where $m$ is an odd integer. We show that for $m \equiv 1 \pmod 3$ there is only one such field with class number one and only one such field with class number two.

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Nimish Mahapatra, Prem Prakash Pandey, Mahesh Ram. 2020-05-26. Small class number fields in the family $\mathbb{Q}(\sqrt{9m^2+4m})$. https://doi.org/10.1007/s11139-022-00695-w

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