论文标题
Zeta在有限场上的功能 - DWork方法的阐述
Zeta functions over finite fields- An exposition of Dwork's methods
论文作者
论文摘要
本文回顾了Weil猜想中使用的DWork的P-ADIC分析方法。前两章回顾了他的理性猜想的证明。本文的其余部分致力于DWORK的原始共同学方法，以及一些P-ADIC功能分析。最后一章将开发的内容应用于DWork的Hypersurfaces家族。
The paper reviews Dwork's p-adic analytic methods used in the Weil Conjectures. The first two chapters review a version of his proof of the rationality conjecture. The rest of the paper is devoted to Dwork's original cohomological methods, along with some p-adic functional analysis. The last chapter applies what is developed to an example of Dwork's family of hypersurfaces.
