On the quartic character of certain quadratic units and the representation of primes by binary quadratic forms

DOI10.1216/RMJ-1986-16-1-95zbMath0599.12003MaRDI QIDQ1080469

Franz Halter-Koch

Publication date: 1986

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

class numberfundamental unitclass field theoryquadratic unitsquadratic residue symbolquartic residue symbol

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Iwasawa theory (11R23) Power residues, reciprocity (11A15)

Related Items (3)

New reciprocity laws for octic residues and nonresidues ⋮ Quartic residues and binary quadratic forms ⋮ Konstruktion von Klassenkörpern und Potenzrestkriterien für quadratische Einheiten

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