Imaginary multiquadratic number fields of exponent $3$ and $5$

Jürgen Klüners; Toru Komatsu

Imaginary multiquadratic number fields of exponent $3$ and $5$

Number Theory 2020-11-10 v2

Authors: Jürgen Klüners , Toru Komatsu

Abstract

In this paper we obtain a complete list of imaginary $n$ -quadratic fields with class groups of exponent $3$ and $5$ under ERH for every positive integer $n$ where an $n$ -quadratic field is a number field of degree $2^n$ represented as the composite of $n$ quadratic fields.

Keywords

class number of quadratic fields

Cite

@article{arxiv.2004.03308,
  title  = {Imaginary multiquadratic number fields of exponent $3$ and $5$},
  author = {Jürgen Klüners and Toru Komatsu},
  journal= {arXiv preprint arXiv:2004.03308},
  year   = {2020}
}

Comments

Better exponation of the algorithm

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