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Pure cubic fields with large minimal index

Volume 182 / 2018

Henry H. Kim, Zack Wolske Acta Arithmetica 182 (2018), 271-277 MSC: Primary 11R16; Secondary 11J68, 11D25. DOI: 10.4064/aa170427-23-11 Published online: 15 January 2018

Abstract

We construct infinitely many pure cubic fields with the minimal index $m(K)\gg |D_K|^{1/16}$ by means of effective irrationality measures given by Voutier.

Authors

  • Henry H. KimDepartment of Mathematics
    University of Toronto
    Toronto, ON M5S 2E4, Canada
    and
    Korea Institute for Advanced Study
    Seoul, Korea
    e-mail
  • Zack WolskeDepartment of Mathematics
    University of Toronto
    Toronto, ON M5S 2E4, Canada
    e-mail

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