A density result for some imaginary quadratic fields with infinite Hilbert 2-class field towers

DOI10.1007/S00013-003-4790-1zbMath1054.11055OpenAlexW2057517706MaRDI QIDQ1880184

Frank III Gerth

Publication date: 22 September 2004

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-003-4790-1

zbMATH Keywords

Hecke characterDirichlet characterimaginary quadratic number field\(2\)-class rank\(4\)-class rankHilbert \(2\)-class field towernon-Archimedean primes

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Density theorems (11R45)

Related Items (3)

A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower ⋮ Densities for some real quadratic fields with infinite Hilbert 2-class field towers ⋮ INFINITE HILBERT CLASS FIELD TOWERS OVER CYCLOTOMIC FIELDS

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