English

Counting multi-quadratic number fields of bounded discriminant

Number Theory 2019-02-18 v2

Abstract

We prove an asymptotic formula for the number of multi-quadratic number fields of bounded discriminant with a power-saving error term. Furthermore, we explicitly calculate the leading coefficient and extend our result to totally real multi-quadratic number fields.

Keywords

Cite

@article{arxiv.1902.03202,
  title  = {Counting multi-quadratic number fields of bounded discriminant},
  author = {Robin Fritsch},
  journal= {arXiv preprint arXiv:1902.03202},
  year   = {2019}
}

Comments

9 pages

R2 v1 2026-06-23T07:35:59.134Z