Exact counting of $D_\ell $ number fields with given quadratic resolvent

DOI10.1090/S0025-5718-2015-02920-2zbMath1318.11137OpenAlexW2001701606MaRDI QIDQ5246848

Henri Cohen

Publication date: 22 April 2015

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-2015-02920-2

zbMATH Keywords

quadratic resolvent\(D_{l}\) number fields

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Cites Work

• Counting cubic extensions with given quadratic resolvent
• Cyclotomic extensions of number fields
• Dirichlet series associated to cubic fields with given quadratic resolvent
• Counting discriminants of number fields
• On the density of discriminants of cyclic extensions of prime degree
• Advanced Topics in Computional Number Theory
• On Dℓ‐extensions of odd prime degree ℓ
• Number Theory
• Exact computation of the discriminants of Abelian extensions

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