The length and other invariants of a real field

Karim Johannes Becher, David B. Leep

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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.

Original languageEnglish
Pages (from-to)235-252
Number of pages18
JournalMathematische Zeitschrift
Issue number1-2
StatePublished - Oct 2011

ASJC Scopus subject areas

  • General Mathematics


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