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arxiv: 0808.3840 · v1 · submitted 2008-08-28 · 🧮 math.RA

On the Pfister Number of Quadratic Forms

classification 🧮 math.RA
keywords formspfisterquadraticdimensiondiscriminantfoldformnumber
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The generic quadratic form of even dimension n with trivial discriminant over an arbitrary field of characteristic different from 2 containing a square root of -1 can be written in the Witt ring as a sum of 2-fold Pfister forms using n-2 terms and not less. The number of 2-fold Pfister forms needed to express a quadratic form of dimension 6 with trivial discriminant is determined in various cases.

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