Abstract
The minimal index of a pure cubic field was shown to assume arbitrarily large values by M. Hall. In this paper we extend this result by showing that every cubefree integer occurs as the minimal index of infinitely many pure cubic fields.
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Spearman, B.K., Yang, Q. & Yoo, J. Minimal indices of pure cubic fields. Arch. Math. 106, 35–40 (2016). https://doi.org/10.1007/s00013-015-0812-z
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DOI: https://doi.org/10.1007/s00013-015-0812-z