AN OVERVIEW OF ZETA FUNCTIONS ON HYPERSURFACES OVER FINITE FIELDS AND DWORK'S THEOREM
Abstract
We study the Hasse Weil zeta function associated to
a hypersurface of dimension n over finite field. The main goal is to give an overview of the proof of Dwork's Theorem. The main ingredients are p-adic analysis, linear algebra, and Weierstrass Preparation Theorem
Description
Keywords
finite fields, p-adic numbers, Dwork's Theorem, Newton polygon, Weierstrass Preparation Theorem