English

Imaginary Multiquadratic Fields of Class Number Dividing $2^m$

Number Theory 2017-12-20 v1

Abstract

This paper gives a method to find all imaginary multiquadratic fields of class number dividing 2m,2^{m}, provided the list of all imaginary quadratic fields of class number dividing 2m+12^{m+1} is known. We give a bound on the degree of such fields. As an application of this algorithm, we compute a complete list of imaginary multiquadratic fields with class number dividing 32.32.

Keywords

Cite

@article{arxiv.1712.06769,
  title  = {Imaginary Multiquadratic Fields of Class Number Dividing $2^m$},
  author = {Amy Feaver and Anna Puskas},
  journal= {arXiv preprint arXiv:1712.06769},
  year   = {2017}
}
R2 v1 2026-06-22T23:22:33.828Z