An Artin character and representations of primes by binary quadratic forms

DOI10.1007/BF01798232zbMath0464.12003OpenAlexW4255848386MaRDI QIDQ1153946

Kenneth S. Williams, Pierre Kaplan

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/154753

zbMATH Keywords

class fieldclass group of quadratic formsdihedral field extensionrepresentation of prime powers by forms

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Quadratic forms over global rings and fields (11E12) Cyclotomic extensions (11R18)

Related Items (2)

An Artin character and representations of primes by binary quadratic forms. II ⋮ Binäre quadratische Formen und rationale Zerlegungsgesetze. I. (Binary quadratic forms and rational laws of decomposition. I)

Cites Work

• Note on the quadratic character of a quadratic unit
• 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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