The length and other invariants of a real field

DOI10.1007/s00209-010-0724-3zbMath1260.11026OpenAlexW1988772590MaRDI QIDQ641864

Karim Johannes Becher, David B. Leep

Publication date: 25 October 2011

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

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-125222

zbMATH Keywords

\(u\)-invariantquadratic formPythagoras numberHasse numbereffective diagonalizationlength of a fieldMordell function

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Forms over real fields (11E10)

Related Items (3)

Real fields, valuations, and quadratic forms ⋮ A cubic ring of integers with the smallest Pythagoras number ⋮ Pythagoras numbers of orders in biquadratic fields

Cites Work

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• Fields of \(u\)-invariant \(9\)

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