Class-number problems for cubic number fields

DOI10.1017/S0027763000005249zbMath0826.11051OpenAlexW2056745879MaRDI QIDQ4844812

Stéphane R. Louboutin

Publication date: 28 November 1995

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000005249

zbMATH Keywords

class numberregulatordiscriminantcubic fieldscubicexplicit lower bound

Mathematics Subject Classification ID

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

Related Items (7)

The class-number one problem for some real cubic number fields with negative discriminants ⋮ On the Diophantine equation \(v(v + 1) = u(u + a)(u + 2a)\) ⋮ Trace and norm of indecomposable integers in cubic orders ⋮ Class number one problem for pure cubic fields of Rudman-Stender type ⋮ Tame kernels of cubic and sextic fields ⋮ The exponent three class group problem for some real cyclic cubic number fields ⋮ The class number one problem for some totally complex quartic number fields

Cites Work

• Some explicit upper bounds on the class number and regulator of a cubic field with negative discriminant
• Tables of ideal class groups of purely cubic fields
• On the class number one problem for non-normal quartic CM-fields
• Some effective cases of the Brauer-Siegel theorem
• Majoration Et Minoration Du Nombre De Classes D'Idéaux Des Corps Réels Purs De Degré Premier
• On the class number and unit index of simplest quartic fields

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