Zeta functions over finite fields- An exposition of Dwork's methods
Number Theory
2023-05-30 v2
Abstract
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.
Cite
@article{arxiv.2012.01809,
title = {Zeta functions over finite fields- An exposition of Dwork's methods},
author = {Martin Ortiz Ramirez},
journal= {arXiv preprint arXiv:2012.01809},
year = {2023}
}
Comments
Old undergrad expository article