JP Journal of Algebra, Number Theory and Applications
Volume 19, Issue 2, Pages 129 - 139
(December 2010)
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A NOTE ON THE MINIMAL INDICES OF PURE CUBIC FIELDS
István Gaál and Tímea Szabó
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up to
discriminant
and
respectively.
Such calculations for these special fields are performed here for the first
time. This yields to solve cubic Thue equations, that may have extreme
coefficients in some examples. Based on our computational results on index form
equations in these fields, we consider the frequency of fields with power
integral bases and the average behaviour of minimal indices.