We discuss here the conjectures of Kaplansky and of Lam concerning the ii-univariant of a field of characteristic different from two. Both conjectures are shown t.o hold true for any field having at most 32 square classes.
@article{bwmeta1.element.desklight-399473bf-73b2-42dd-a05e-6325c5056f25,
author = {Bronis\l awa B\l aszczyk},
title = {The u-invariant of fields with 16 and 32 square classes I},
journal = {Annales Polonici Mathematici},
volume = {37},
year = {1980},
pages = {1-12},
zbl = {0439.10012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.desklight-399473bf-73b2-42dd-a05e-6325c5056f25}
}
Bronisława Błaszczyk. The u-invariant of fields with 16 and 32 square classes I. Annales Polonici Mathematici, Tome 37 (1980) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.desklight-399473bf-73b2-42dd-a05e-6325c5056f25/