论文标题
进一步改进了雪佛兰制定定理
Further Improvements to the Chevalley-Warning Theorems
论文作者
论文摘要
我们研究了有限场上方程系统解决方案解决方案的下限估计。 heath-brown改善了经典\ emph {chevalley-warning定理}给出的下限，排除了溶液形成仿射空间的方程式。我们改善了Heath-Brown的每个结果，并在几种情况下证明了清晰度。
We study lower bound estimates for the number of solutions of systems of equations over finite fields. Heath-Brown improved the lower bounds given by the classical \emph{Chevalley-Warning Theorems} by excluding systems of equations whose solutions form an affine space. We improve each of Heath-Brown's results and demonstrate sharpness in several cases.
