论文标题
具有两个术语的二次形式的零数
The Number of Zeros of Quadratic Forms with Two Terms
论文作者
论文摘要
在本文中，我们将有兴趣在有限场上找到二次形式的零数。我们将应用该工具来查找[6]中超级曲线的理性点的数量。我们将为与二次形式相关的Artin-Schreier曲线提供更多工具。我们将特别感兴趣（超级）artin-schreier曲线$ y^q-y = x^{q^b+1} -x^{q^a+1} $。
In this paper, we will interest in finding the number of zeros of the quadratic forms over finite fields. We will apply the tool for finding the number of rational points of supersingular curves in [6]. We will give some more tools for Artin-Schreier curves related with quadratic form. We will especially interest in the (supersingular) Artin-Schreier curve $y^q-y=x^{q^b+1}-x^{q^a+1}$.
