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Minimal indices of pure cubic fields

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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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Authors and Affiliations

  1. Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC, V1V 1V7, Canada

    Blair K. Spearman, Qiduan Yang & Jeewon Yoo

Authors
  1. Blair K. Spearman
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  2. Qiduan Yang
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  3. Jeewon Yoo
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Correspondence to Blair K. Spearman.

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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

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