TY - JOUR
T1 - The length and other invariants of a real field
AU - Becher, Karim Johannes
AU - Leep, David B.
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011/10
Y1 - 2011/10
N2 - 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.
AB - 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.
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U2 - 10.1007/s00209-010-0724-3
DO - 10.1007/s00209-010-0724-3
M3 - Article
AN - SCOPUS:80052677389
SN - 0025-5874
VL - 269
SP - 235
EP - 252
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 1-2
ER -