Konstruktion von Klassenkörpern und Potenzrestkriterien für quadratische Einheiten

DOI10.1007/BF01168487zbMath0586.12008OpenAlexW2914437002MaRDI QIDQ1071807

Franz Halter-Koch

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155123

zbMATH Keywords

binary quadratic formsquadratic fieldfundamental unitray class fieldhigher residuacityoctic residuacityquartic residuacity

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37) Power residues, reciprocity (11A15) General binary quadratic forms (11E16)

Related Items (1)

Quartic residues and binary quadratic forms

Cites Work

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• Divisibility by 16 of class number of quadratic fields whose 2-class groups are cyclic
• A propos des équations antipelliennes
• Über den 4-Rank der Klassengruppe quadratischer Zahlkörper
• An Artin character and representations of primes by binary quadratic forms. III
• On the quartic character of certain quadratic units and the representation of primes by binary quadratic forms
• The quartic characters of certain quadratic units
• An Artin character and representations of primes by binary quadratic forms. II
• Divisibility by 8 of the class number of quadratic fields whose 2-class group is cyclic, and biquadratic reciprocity
• Einseinheitengruppen und prime Restklassengruppen in quadratischen Zahlkörpern. (One-unit groups and prime residue class groups in quadratic number fields)
• Arithmetische Theorie der Normalkörper von 2-Potenzgrad mit Diedergruppe. (Arithmetic theory of normal fields of 2-power degree with dihedral group)
• Parametric form of an eight class field
• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
• On the quartic character of quadratic units.

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