On trace forms of algebraic number fields

DOI10.1007/BF01179273zbMath0658.10025OpenAlexW1970346628MaRDI QIDQ5903795

Winfried Scharlau

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173869

zbMATH Keywords

orderingWitt ringsignatureseparable field extensiontrace formalgebraic number fieldsymmetric bilinear formHilbertian field

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Quadratic forms over global rings and fields (11E12) General binary quadratic forms (11E16)

Related Items (9)

On trace forms of étale algebras and field extensions ⋮ On trace forms of algebraic number fields ⋮ On the scaled trace forms and the transfer of a number field extension ⋮ Algebraic number field extensions with prescribed trace form ⋮ Quadratic Forms ⋮ On PAC extensions and scaled trace forms ⋮ Algebraic systems of quadratic forms of number fields and function fields ⋮ Sums of squares in Witt rings ⋮ Trace forms of dyadic number fields

Cites Work

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• Total positivity and algebraic Witt classes
• Hermitesche und orthogonale Operatoren über kommutativen Ringen

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