On the density of discriminants of cyclic extensions of prime degree

DOI10.1515/crll.2002.071zbMath1004.11063OpenAlexW2087713806MaRDI QIDQ4539584

Michel Olivier, Francisco Diaz y Diaz, Henri Cohen

Publication date: 9 July 2002

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2002.071

zbMATH Keywords

conductordensitycyclotomic extensionsKummer extensionsdiscriminantscyclic extensions

Mathematics Subject Classification ID

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

Related Items (15)

On Malle’s conjecture for nilpotent groups ⋮ Counting cyclic quartic extensions of a number field ⋮ On the Distribution of Class Groups of Number Fields ⋮ Counting discriminants of number fields ⋮ On the Vanishing of TwistedL-Functions of Elliptic Curves ⋮ Construction of all cubic function fields of a given square-free discriminant ⋮ Enumerating quartic dihedral extensions of \(\mathbb Q\) with signatures. ⋮ Cotorsion of anti-cyclotomic Selmer groups on average ⋮ Counting cubic extensions with given quadratic resolvent ⋮ Distribution of Artin-Schreier extensions ⋮ Cyclotomic extensions of number fields ⋮ A mean value theorem for discriminants of abelian extensions of a number field ⋮ Exact computation of the discriminants of Abelian extensions ⋮ Exact counting of $D_\ell $ number fields with given quadratic resolvent ⋮ On unit signatures and narrow class groups of odd degree abelian number fields

Cites Work

• The Conductor Density of Abelian Number Fields
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