Cyclotomic extensions of number fields

DOI10.1016/S0019-3577(03)90003-6zbMath1056.11058MaRDI QIDQ1433043

Francisco Diaz y Diaz, Henri Cohen, Michel Olivier

Publication date: 15 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

conductordifferentdiscriminantprime ideal decompositionGalois module structure of unit group

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (6)

Counting cyclic quartic extensions of a number field ⋮ Identities for field extensions generalizing the Ohno–Nakagawa relations ⋮ Counting discriminants of number fields ⋮ Counting cubic extensions with given quadratic resolvent ⋮ A mean value theorem for discriminants of abelian extensions of a number field ⋮ Exact counting of $D_\ell $ number fields with given quadratic resolvent

Cites Work

• Unnamed Item
• On the density of discriminants of cyclic extensions of prime degree
• Densité des discriminants des extensions cycliques de degré premier

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