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

Azizul Hoque; Srinivas Kotyada

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Class number one problem for the real quadratic fields mathbb{Q}({sqrt{m²+2r}})

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arxiv 2008.03505 v1 pith:FB3HAKEM submitted 2020-08-08 math.NT

Class number one problem for the real quadratic fields mathbb{Q}({sqrt{m²+2r}})

Azizul Hoque , Srinivas Kotyada This is my paper

classification math.NT

keywords classfieldsmathbbnumberproblemquadraticrealsqrt

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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 $r$.

Class number one problem for the real quadratic fields mathbb{Q}({sqrt{m²+2r}})

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