The density of discriminants of $S_3$-sextic number fields

DOI10.1090/S0002-9939-07-09171-XzbMath1171.11058MaRDI QIDQ5448921

Manjul Bhargava, Melanie Matchett Wood

Publication date: 10 March 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Galois theorysextic number fieldsdensity of discriminants theoremslocal completions of number fields

Mathematics Subject Classification ID

Other number fields (11R21) Class numbers, class groups, discriminants (11R29) Density theorems (11R45)

Related Items (15)

On Malle’s conjecture for nilpotent groups ⋮ On the Davenport-Heilbronn theorems and second order terms ⋮ Torsors for finite group schemes of bounded height ⋮ The distribution of \(G\)-Weyl CM fields and the Colmez conjecture ⋮ Idélic approach in enumerating Heisenberg extensions ⋮ Nonabelian Cohen-Lenstra moments ⋮ On the probabilities of local behaviors in abelian field extensions ⋮ On the Malle conjecture and the self-twisted cover ⋮ The weak form of Malle's conjecture and solvable groups ⋮ DISCRIMINANTS CUBIQUES ET PROGRESSIONS ARITHMÉTIQUES ⋮ The number of \(D_4\)-fields ordered by conductor ⋮ Malle's conjecture for for ⋮ DENSITY RESULTS FOR SPECIALIZATION SETS OF GALOIS COVERS ⋮ An error estimate for counting S₃-sextic number fields ⋮ Statistics of the first Galois cohomology group: a refinement of Malle's conjecture

Cites Work

• The density of discriminants of quintic rings and fields
• Error estimates for the Davenport-Heilbronn theorems
• Higher composition laws. III: The parametrization of quartic rings
• A counter example to Malle's conjecture on the asymptotics of discriminants
• A database of local fields
• The density of discriminants of quartic rings and fields
• DISCRIMINANTS CUBIQUES ET PROGRESSIONS ARITHMÉTIQUES
• Distribution of Discriminants of Abelian Extensions
• Density of discriminants of cubic extensions.
• Counting nilpotent Galois extensions
• On the Distribution of Galois Groups, II
• Mass Formulae for Extensions of Local Fields, and Conjectures on the Density of Number Field Discriminants
• On the density of discriminants of cubic fields. II
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