Lower Bounds for Relative Class Numbers of CM-Fields
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Publication:4286398
DOI10.2307/2159878zbMath0795.11058OpenAlexW4232075181MaRDI QIDQ4286398
Publication date: 27 March 1994
Full work available at URL: https://doi.org/10.2307/2159878
Dedekind zeta functiondiscriminantideal class groupsrelative class numberclass number oneCM-fieldsharp upper bounds on conductors of totally imaginary abelian number fields
Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Other abelian and metabelian extensions (11R20)
Related Items
On the class number one problem for non-normal quartic CM-fields ⋮ Determination of all quaternion octic CM-fields with ideal class groups of exponents 2. Abridged version ⋮ The class number one problem for the normal CM-fields of degree 32 ⋮ Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields ⋮ A finiteness theorem for imaginary abelian number fields ⋮ Unnamed Item ⋮ CM-fields with cyclic ideal class groups of 2-power orders ⋮ Dihedral CM fields with class number one ⋮ The class number one problem for some non-abelian normal CM-fields of degree 24 ⋮ The class number one problem for some non-abelian normal CM-fields ⋮ The exponent three class group problem for some real cyclic cubic number fields ⋮ The Determination of the Imaginary Abelian Number Fields with Class Number One ⋮ An explicit CM type norm formula and effective nonvanishing of class group \(L\)-functions for CM fields ⋮ Class number problem for imaginary cyclic number fields ⋮ Class numbers of imaginary abelian number fields
Cites Work
