论文标题
第六学位的DWork Hyperfaces和Greene的超几何功能
Dwork hypersurfaces of degree six and Greene's hypergeometric function
论文作者
论文摘要
在本文中，我们通过使用Greene的有限场外超几何函数为有限场上的DWork高度曲面上的理性点提供了一个公式，这是Goodson对第四学位的DWork Hyperface的概括。我们的配方也是Matsumoto-terasomay-Yamazaki公式的更高维度和有限的场类似物。此外，我们还解释了我们的公式与宫谷公式之间的关系。
In this paper, we give a formula for the number of rational points on the Dwork hypersurfaces of degree six over finite fields by using Greene's finite-field hypergeometric function, which is a generalization of Goodson's formula for the Dwork hypersurfaces of degree four. Our formula is also a higher-dimensional and a finite field analogue of Matsumoto-Terasoma-Yamazaki's formula. Furthermore, we also explain the relation between our formula and Miyatani's formula.
