English

Application of Weierstrass units to relative power integral bases

Number Theory 2013-01-01 v1

Abstract

Let KK be an imaginary quadratic field other than Q(1)\mathbb{Q}(\sqrt{-1}) and Q(3)\mathbb{Q}(\sqrt{-3}). We construct relative power integral bases between certain abelian extensions of KK in terms of Weierstrass units.

Keywords

Cite

@article{arxiv.1212.6621,
  title  = {Application of Weierstrass units to relative power integral bases},
  author = {Ho Yun Jung and Ja Kyung Koo and Dong Hwa Shin},
  journal= {arXiv preprint arXiv:1212.6621},
  year   = {2013}
}