Determination of all Quaternion Octic CM-Fields with Class Number 2

DOI10.1112/jlms/54.2.227zbMath0861.11064OpenAlexW2329204592MaRDI QIDQ5283950

Stéphane R. Louboutin

Publication date: 12 May 1997

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/54.2.227

zbMATH Keywords

relative class numberclass number 2non-abelian normal CM-field of degree 16quaternionic octic CM-field

Mathematics Subject Classification ID

Other number fields (11R21) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Class numbers, class groups, discriminants (11R29)

Related Items (11)

Determination of all quaternion octic CM-fields with ideal class groups of exponents 2. Abridged version ⋮ The class number one problem for some non-abelian normal CM-fields of degree 48 ⋮ The class number one problem for the normal CM-fields of degree 32 ⋮ A note on the least prime that splits completely in a nonabelian Galois number field ⋮ Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields ⋮ Unnamed Item ⋮ Unramified quaternion extensions of quadratic number fields ⋮ Class number one problem for normal CM-fields ⋮ The class number one problem for some non-normal CM-fields of degree \(2p\) ⋮ Hasse Unit Indices of Dihedral Octic CM-Fields ⋮ Computation of relative class numbers of CM-fields by using Hecke $L$-functions

This page was built for publication: Determination of all Quaternion Octic CM-Fields with Class Number 2