An Artin character and representations of primes by binary quadratic forms. III

DOI10.1007/BF01168351zbMath0568.12002OpenAlexW4233873440MaRDI QIDQ1060245

Franz Halter-Koch

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/155069

zbMATH Keywords

binary quadratic formsfundamental unitquadratic unitsrepresentation of primesArtin characterquadratic residue symbolsquartic residue symbols

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Power residues, reciprocity (11A15)

Related Items (1)

Konstruktion von Klassenkörpern und Potenzrestkriterien für quadratische Einheiten

Cites Work

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• An Artin character and representations of primes by binary quadratic forms. II
• Arithmetische Theorie der Normalkörper von 2-Potenzgrad mit Diedergruppe. (Arithmetic theory of normal fields of 2-power degree with dihedral group)
• Sur le 2-groupe des classes d'idéaux des corps quadratiques.

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