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arXiv · 1508.05644

The class number one problem for the real quadratic fields $\mathbb{Q}\left(\sqrt{(an)^2+4a}\right)$

András Biró·Kostadinka Lapkova
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Abstract

We solve unconditionally the class number one problem for the $2$-parameter family of real quadratic fields $\mathbb{Q}(\sqrt{d})$ with square-free discriminant $d=(an)^2+4a$ for positive odd integers $a$ and $n$.

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András Biró, Kostadinka Lapkova. 2015-08-23. The class number one problem for the real quadratic fields $\mathbb{Q}\left(\sqrt{(an)^2+4a}\right)$. https://arxiv.org/abs/1508.05644

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