论文标题
决定因素的警告等级的改进的上限
An improved upper bound for the Waring rank of the determinant
论文作者
论文摘要
通用$ d \ times d $确定因素的警告等级以上是$ d \ cdot d！$。这改善了以前的上限，这是阶乘的指数时间。我们的上限来自明确的功率和分解。我们描述了分解术语的分解和设置理论定义方程的对称性。
The Waring rank of the generic $d \times d$ determinant is bounded above by $d \cdot d!$. This improves previous upper bounds, which were of the form an exponential times the factorial. Our upper bound comes from an explicit power sum decomposition. We describe some of the symmetries of the decomposition and set-theoretic defining equations for the terms of the decomposition.
