English

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

Number Theory 2020-08-11 v1

Abstract

We investigate the class number one problem for a parametric family of real quadratic fields of the form Q(m2+4r)\mathbb{Q}( \sqrt{m^2+4r}) for certain positive integers mm and rr.

Keywords

Cite

@article{arxiv.2008.03505,
  title  = {Class number one problem for the real quadratic fields $\mathbb{Q}({\sqrt{m^2+2r}})$},
  author = {Azizul Hoque and Srinivas Kotyada},
  journal= {arXiv preprint arXiv:2008.03505},
  year   = {2020}
}

Comments

4 pages. To appear in Archiv der Mathematik

R2 v1 2026-06-23T17:43:16.170Z