The class number one problem for some non-abelian normal CM-fields of degree 24

DOI10.5802/jtnb.257zbMath1010.11063OpenAlexW2323709746MaRDI QIDQ1975051

Ryotaro Okazaki, Stéphane R. Louboutin, Franz Lemmermeyer

Publication date: 3 April 2000

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1999__11_2_387_0

zbMATH Keywords

Galois groupclass number onenonabelian normal CM-fields

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29)

Related Items

The class number one problem for some non-abelian normal CM-fields of degree 48 ⋮ Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields ⋮ Unnamed Item ⋮ Class number one problem for normal CM-fields ⋮ The class number one problem for some non-normal CM-fields of degree \(2p\) ⋮ Computation of L(0, χ) and of relative class numbers of CM-fields ⋮ Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime \(2\) ⋮ The zeros of Dedekind zeta functions and class numbers of CM-fields ⋮ CM-fields with relative class number one ⋮ Class numbers of imaginary quadratic fields ⋮ Real zeros of Dedekind zeta functions

Uses Software

• KANT/KASH
• PARI/GP

Cites Work

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