On some cubic or quartic algebraic units

DOI10.1016/J.JNT.2009.09.002zbMath1211.11121OpenAlexW1972228998MaRDI QIDQ962997

Stéphane R. Louboutin

Publication date: 8 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.09.002

zbMATH Keywords

polynomialdiscriminantunitcubic number fieldquartic number field

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Polynomials (irreducibility, etc.) (11R09)

Related Items (5)

On the Discriminants of the Powers of an Algebraic Integer ⋮ Determination of the orders generated by a cyclic cubic unit that are Galois invariant ⋮ Fundamentality of a cubic unit $u$ for $\mathbb {Z}[u$] ⋮ On the order generated by the conjugates of an algebraic integer ⋮ On the fundamental units of a totally real cubic order generated by a unit

Cites Work

• The class-number one problem for some real cubic number fields with negative discriminants
• The class number one problem for some totally complex quartic number fields
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