On the Pfister Number of Quadratic Forms
(2009) Quadratic Forms - Algebra, Arithmetic, and Geometry — ISBN: [978-0-8218-4648-3], p. 327-338, published
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- Authors
- Abstract
- 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.
- Affiliations
Emory University Department of Mathematics and Computer Science University of Hyderabad Department of Mathematics and Statistics
Citations
Parimala, R., Suresh, V., & Tignol, J.-P. (2009). On the Pfister Number of Quadratic Forms. In Ricardo Baeza (ed.), Quadratic Forms - Algebra, Arithmetic, and Geometry (p. p. 327-338). American Mathematical Society. https://hdl.handle.net/2078.5/268692