All purely cubic fields such that their maximal order is generated by its units are determined.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-6,
author = {Robert F. Tichy and Volker Ziegler},
title = {Units generating the ring of integers of complex cubic fields},
journal = {Colloquium Mathematicae},
volume = {107},
year = {2007},
pages = {71-83},
zbl = {1183.11016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-6}
}
Robert F. Tichy; Volker Ziegler. Units generating the ring of integers of complex cubic fields. Colloquium Mathematicae, Tome 107 (2007) pp. 71-83. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-6/