English

A note on certain real quadratic fields with class number upto three

Number Theory 2019-06-11 v3

Abstract

We obtain criteria for the class number of certain Richaud-Degert type real quadratic fields to be 3. We also treat a couple of families of real quadratic fields of Richaud-Degert type that were not considered earlier, and obtain similar criteria for the class number of such fields to be 2 and 3.

Keywords

Cite

@article{arxiv.1812.02488,
  title  = {A note on certain real quadratic fields with class number upto three},
  author = {Kalyan Chakraborty and Azizul Hoque and Mohit Mishra},
  journal= {arXiv preprint arXiv:1812.02488},
  year   = {2019}
}

Comments

13 pages. Some minor corrections have been made. To appear in Kyushu Journal of Mathematics

R2 v1 2026-06-23T06:34:00.087Z