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The u-invariant of fields with 16 and 32 square classes I

Bronisława Błaszczyk (1980)

Annales Polonici Mathematici

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.

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