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

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 $r$.

arXiv comment4 pages. To appear in Archiv der Mathematik