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/