A finiteness theorem for imaginary abelian number fields

DOI10.1007/BF02567959zbMath0869.11089OpenAlexW2003637073MaRDI QIDQ1353075

Stéphane R. Louboutin

Publication date: 1 September 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156234

zbMATH Keywords

imaginary quadratic number fieldsclass groupgenus theoryCM-fieldscomplex abelian extensions

Mathematics Subject Classification ID

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

Related Items

Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields ⋮ Explicit bounds for residues of Dedekind zeta functions, values of \(L\)-functions at \(s=1\), and relative class numbers ⋮ The imaginary abelian number fields with class numbers equal to their genus class numbers ⋮ Class number problem for imaginary cyclic number fields

Cites Work

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• Determination of All Nonquadratic Imaginary Cyclic Number Fields of 2-Power Degrees with Ideal Class Groups of Exponents ≤2
• On Siegel's theorem