Dihedral CM fields with class number one

DOI10.5802/aif.1747zbMath0952.11024OpenAlexW2049626822MaRDI QIDQ1965853

Yann Lefeuvre

Publication date: 1 March 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_1_67_0

zbMATH Keywords

class numberrelative class numberclass field theoryCM-fielddihedral field

Mathematics Subject Classification ID

Other number fields (11R21) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (8)

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 ⋮ NONABELIAN NORMAL CM-FIELDS OF DEGREE 2 pq ⋮ Class number one problem for normal CM-fields ⋮ Dihedral CM fields with class number one ⋮ Computation of L(0, χ) and of relative class numbers of CM-fields ⋮ The class number one problem for some non-abelian normal CM-fields of degree 24 ⋮ CM-fields with relative class number one

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit upper bounds of the residue at the point 1 of zeta functions of certain number fields
• Some analytic bounds for zeta functions and class numbers
• Dihedral CM fields with class number one
• Sur l'arithmétique des extensions galoisiennes à groupe de Galois diédral d'ordre \(2p\)
• On the functional equation of the Artin L-function for characters of real representations
• Upper Bounds on |L(1, χ)| and Applications
• Computation of Relative Class Numbers of Imaginary Abelian Number Fields
• Construction of the real dihedral number fields of degree 2p. Applications
• Lower Bounds for Relative Class Numbers of CM-Fields
• The Determination of the Imaginary Abelian Number Fields with Class Number One
• Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one
• The Class Number One Problem for Some Non-Abelian Normal CM-Fields of 2-Power Degrees
• The class number one problem for some non-abelian normal CM-fields
• Computation of relative class numbers of CM-fields by using Hecke $L$-functions
• Corps quadratiques à corps de classes de Hilbert principaux et à multiplication complexe
• Some analytic estimates of class numbers and discriminants

This page was built for publication: Dihedral CM fields with class number one