Residue properties of certain quadratic units

DOI10.1016/0022-314X(85)90051-4zbMath0567.12003MaRDI QIDQ1059668

Kenneth Kramer

Publication date: 1985

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

class numberfundamental unitcharacter formulaquadratic characterquartic characterrepresentation of powers of primes by quadratic formsunits of quadratic fields

Mathematics Subject Classification ID

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

Related Items (1)

On the quadratic character of quadratic units

Cites Work

• An Artin character and representations of primes by binary quadratic forms. II
• Higher explicit reciprocity laws
• The quadratic and quartic character of certain quadratic units. II
• Good reduction of abelian varieties
• On the quartic character of quadratic units.
• Note on primes of type x2 + 32y2, class number, and residuacity.
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