Class number one problem for the real quadratic fields $\mathbb{Q}({\sqrt{m^2+2r}})$

Azizul Hoque; Srinivas Kotyada

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arXiv · 2008.03505

Class number one problem for the real quadratic fields $\mathbb{Q}({\sqrt{m^2+2r}})$

Azizul Hoque·Srinivas Kotyada

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Abstract

We investigate the class number one problem for a parametric family of real quadratic fields of the form $\mathbb{Q}( \sqrt{m^2+4r})$ for certain positive integers $m$ and $r$.

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Azizul Hoque, Srinivas Kotyada. 2020-08-08. Class number one problem for the real quadratic fields $\mathbb{Q}({\sqrt{m^2+2r}})$. https://arxiv.org/abs/2008.03505

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