An algorithm to compute relative cubic fields

DOI10.1090/S0025-5718-2013-02686-5zbMath1360.11147arXiv1103.2901OpenAlexW2038404091MaRDI QIDQ5326515

Anna Morra

Publication date: 6 August 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2901

zbMATH Keywords

Kummer theoryDirichlet seriescubic fieldscomputation of discriminantsJulia reductionTaniguchi parametrization

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16)

Related Items (1)

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Uses Software

• PARI/GP

Cites Work

• An inequality for the discriminant of a polynomial
• Generators and relations for certain special linear groups
• Density of discriminants of cubic extensions.
• Reduction of Binary Cubic and Quartic Forms
• A fast algorithm to compute cubic fields
• Advanced Topics in Computional Number Theory
• On the density of discriminants of cubic fields. II
• Algorithmic Number Theory
• On the distribution of Galois groups
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