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

Azizul Hoque, Srinivas Kotyada

Published 2020-08-08Version 1

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 $r$.