Simplest cubic fields

DOI10.1007/BF02567804zbMath0851.11059OpenAlexW2000368716MaRDI QIDQ1911198

Franz Lemmermeyer, Attila Pethoe

Publication date: 11 November 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156109

zbMATH Keywords

cyclic cubic fieldunramified abelian quartic extension

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16)

Related Items (12)

Elements of small norm in Shanks' cubic extensions of imaginary quadratic fields ⋮ On linear combinations of units with bounded coefficients and double-base digit expansions ⋮ On the Pythagoras number of the simplest cubic fields ⋮ Trace and norm of indecomposable integers in cubic orders ⋮ Cyclic polytope of the simplest cubic fields ⋮ On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields ⋮ Unnamed Item ⋮ Parameterized norm form equations with arithmetic progressions ⋮ The exponent three class group problem for some real cyclic cubic number fields ⋮ Number fields with large minimal index containing quadratic subfields ⋮ On the family of Thue equation|x 3+mx2y−(m+3)xy2+y3|=k ⋮ Efficient computation of root numbers and class numbers of parametrized families of real abelian number fields

Cites Work

• On certain cubic fields. IV
• Arithmetic properties of a class of cubic cyclic fields
• A Device for Generating Fields of Even Class Number
• Class Numbers of the Simplest Cubic Fields
• The Simplest Cubic Fields

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