论文标题
Appell-Lauricella超几何功能在有限田和代数品种上
Appell-Lauricella hypergeometric functions over finite fields and algebraic varieties
论文作者
论文摘要
我们证明了在许多变量中的Appell-Lauricella超几何函数的积分表示的有限场类似物。我们考虑某些具有小组动作的超曲面并计算与该组的字符相关的有理点的数量，这将以有限领域的诉讼函数表示。
We prove finite field analogues of integral representations of Appell- Lauricella hypergeometric functions in many variables. We consider certain hypersurfaces having a group action and compute the numbers of rational points associated with characters of the group, which will be expressed in terms of Appell-Lauricella functions over finite fields.
