On distinct unit generated fields that are totally complex
Number Theory
2014-09-18 v3
Abstract
We consider the problem of characterizing all number fields such that all algebraic integers can be written as the sum of distinct units of . We extend a method due to Thuswaldner and Ziegler that previously did not work for totally complex fields and apply our results to the case of totally complex quartic number fields.
Cite
@article{arxiv.1403.0775,
title = {On distinct unit generated fields that are totally complex},
author = {Daniel Dombek and Zuzana Masáková and Volker Ziegler},
journal= {arXiv preprint arXiv:1403.0775},
year = {2014}
}