On the Pfister Number of Quadratic Forms

被引：0
|
作者：
Parimala, R. [1 ]
Suresh, V. [2 ]
Tignol, J. -P. [3 ]
机构：
[1] Emory Univ, Dept Math & Comp Sci, 400 Dowman Dr, Atlanta, GA 30322 USA
[2] Univ Hyderabad, Dept Math & Stat, Hyderabad 500046, Andhra Pradesh, India
[3] Catholic Univ Louvain, Dept Math, B-1348 Louvain La Neuve, Belgium
来源：
QUADRATIC FORMS - ALGEBRA, ARITHMETIC, AND GEOMETRY | 2009年 / 493卷
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：327 / +
页数：2
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