scientific article

zbMath1108.11085MaRDI QIDQ3024726

Soun-Hi Kwon, Hee-Sun Yang, Stéphane R. Louboutin

Publication date: 5 March 2007

Full work available at URL: https://eudml.org/doc/32410

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

class groupCM-fieldoctic fieldquartic field

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (3)

Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields ⋮ Unnamed Item ⋮ The class number one problem for some non-normal CM-fields of degree \(2p\)

Cites Work

• Unnamed Item
• Unnamed Item
• Continued fractions and real quadratic fields
• On the class number one problem for non-normal quartic CM-fields
• Computation of class numbers of number fields
• The non-normal quartic CM-fields and the octic dihedral CM-fields with relative class number two
• Determination of all quaternion CM-fields with ideal class groups of exponent 2
• Powerful Necessary Conditions for Class Number Problems
• Exponents of the class groups of imaginary Abelian number fields
• On Rédei's theory of the Pell equation.
• Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one
• Determination of All Nonquadratic Imaginary Cyclic Number Fields of 2-Power Degrees with Ideal Class Groups of Exponents ≤2
• The class number one problem for the non-abelian normal CM-fields of degree 16
• Hasse Unit Indices of Dihedral Octic CM-Fields
• Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields

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