Discriminants of cyclic cubic orders

DOI10.1016/J.JNT.2016.04.015zbMath1401.11142OpenAlexW2412917415MaRDI QIDQ301411

F. Blanchet-Sadri, M. Dambrine

Publication date: 30 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.04.015

zbMATH Keywords

discriminantcubic fieldcyclic orderZ-module basis

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items (3)

When is the order generated by a cubic, quartic or quintic algebraic unit Galois invariant: three conjectures ⋮ Discriminants of 𝔖n-orders ⋮ On the order generated by the conjugates of an algebraic integer

Cites Work

• Determination of the orders generated by a cyclic cubic unit that are Galois invariant
• On the fundamental units of a totally real cubic order generated by a unit
• On the fundamental units of some cubic orders generated by units
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