Monogenic cyclic cubic extensions of the ring of integers of an imaginary quadratic field

DOI10.1007/BF01201451zbMath0789.11058MaRDI QIDQ1312361

Jean-Daniel Therond

Publication date: 9 February 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

cubic diophantine equationsmonogenic cubic extension

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Cubic and quartic Diophantine equations (11D25) Polynomials (irreducibility, etc.) (11R09) Other abelian and metabelian extensions (11R20)

Related Items (1)

Monogenic cubic cyclic extension of the ring of integers of a quadratic field

Cites Work

• Existence d'une extension cyclique cubique monogene de discriminant donne
• The theorem of the primitive element for a semi-local ring.
• Weitere Ergebnisse über \(x^ 3+y^ 3=z^ 3\) in quadratischen Körpern
• Ein zweiter Fall der Unmöglichkeit von \(x^3+y^3=z^3\) in quadratischen Körpern mit durch 3 teilbarer Klassenzahl
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