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On the rational equivalence of full decomposable forms

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Publication:1163047
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DOI10.1016/0022-314X(82)90050-6zbMath0483.10019MaRDI QIDQ1163047

Stanley J. Gurak

Publication date: 1982

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


zbMATH Keywords

normsgenus theoryarithmetic criteriarational equivalence of full decomposable forms


Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Class field theory (11R37)


Related Items (1)

Rational and genus equivalence of forms



Cites Work

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  • On the representation theory for full decomposable forms
  • The Hasse Norm Principle in a Compositum of Radical Extensions
  • The Simplest Cubic Fields
  • The Hasse norm principle for Abelian extensions of number fields
  • Ideal-theoretic characterization of the relative genus field.
  • Invariants of the ideal class group and the Hasse norm theorem.
  • The Hasse Norm Principle in Metacyclic Extensions of Number Fields
  • The Hasse norm principle in non-abelian extensions.
  • The Hasse Norm Theorem for Non-Cyclic Extensions of the Rationals
  • Zur Geschlechtertheorie in abelschen Zahlkörpern


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