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arXiv · 2012.01809

Zeta functions over finite fields- An exposition of Dwork's methods

Martin Ortiz Ramirez
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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.

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Martin Ortiz Ramirez. 2020-12-03. Zeta functions over finite fields- An exposition of Dwork's methods. https://arxiv.org/abs/2012.01809

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