DISCRIMINANTS CUBIQUES ET PROGRESSIONS ARITHMÉTIQUES

DOI10.1142/S1793042110003605zbMath1225.11139OpenAlexW2095868969MaRDI QIDQ3067875

Étienne Fouvry, Karim Belabas

Publication date: 13 January 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042110003605

zbMATH Keywords

densitydiscriminantscubic fields

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Density theorems (11R45)

Related Items (8)

Quadratic p-ring spaces for counting dihedral fields ⋮ Idélic approach in enumerating Heisenberg extensions ⋮ Nonabelian Cohen-Lenstra moments ⋮ On the Malle conjecture and the self-twisted cover ⋮ The density of discriminants of $S_3$-sextic number fields ⋮ Dirichlet series associated to cubic fields with given quadratic resolvent ⋮ Malle's conjecture for for ⋮ An error estimate for counting S₃-sextic number fields

Cites Work

• A counter example to Malle's conjecture on the asymptotics of discriminants
• Sieve and 3-rank of quadratic fields
• On the 3-rank of quadratic fields with prime or almost prime discriminant
• A fast algorithm to compute cubic fields
• Sur les propriétés de divisibilité des nombres de classes des corps quadratiques
• On quadratic fields with large 3-rank
• On the Distribution of Galois Groups, II
• The density of discriminants of $S_3$-sextic number fields
• On the Density of Discriminants of Cubic Fields
• On the density of discriminants of cubic fields. II
• On the distribution of Galois groups

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