The length and other invariants of a real field


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BECHER, Karim Johannes, David LEEP, 2010. The length and other invariants of a real field. In: Mathematische Zeitschrift. 269(1-2), pp. 235-252. ISSN 0025-5874

@article{Becher2010lengt-372, title={The length and other invariants of a real field}, year={2010}, doi={10.1007/s00209-010-0724-3}, number={1-2}, volume={269}, issn={0025-5874}, journal={Mathematische Zeitschrift}, pages={235--252}, author={Becher, Karim Johannes and Leep, David} }

<rdf:RDF xmlns:rdf="" xmlns:bibo="" xmlns:dc="" xmlns:dcterms="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:rights rdf:resource=""/> <dc:creator>Becher, Karim Johannes</dc:creator> <dcterms:abstract xml:lang="eng">The length of a field is the smallest integer m such that any totally positive quadratic form of dimension m represents all sums of squares. We investigate this field invariant and compare it to others such as the u-invariant, the Pythagoras number, the Hasse number, and the Mordell function related to sums of squares of linear forms.</dcterms:abstract> <dc:language>eng</dc:language> <dcterms:issued>2010</dcterms:issued> <dc:contributor>Leep, David</dc:contributor> <dcterms:bibliographicCitation>Publ. in: Mathematische Zeitschrift ; 269 (2010), 1/2. - pp. 235-252</dcterms:bibliographicCitation> <dc:rights>deposit-license</dc:rights> <dcterms:title>The length and other invariants of a real field</dcterms:title> <dc:contributor>Becher, Karim Johannes</dc:contributor> <dc:date rdf:datatype="">2011-10-12T09:40:45Z</dc:date> <dcterms:available rdf:datatype="">2011-10-12T09:40:45Z</dcterms:available> <bibo:uri rdf:resource=""/> <dc:creator>Leep, David</dc:creator> <dc:format>application/pdf</dc:format> </rdf:Description> </rdf:RDF>

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