Pure cubic fields with large minimal index
Volume 182 / 2018
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.
