Computing zeta functions over finite fields
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
In this paper, we give an overview of the various general methods in computing the zeta function of an algebraic variety defined over a finite field, with an emphasis on computing the reduction modulo of the zeta function of a hypersurface, where is the characteristic of the finite field. In particular, this applies to the problem of counting rational points of an algebraic variety over a finite field.
Cite
@article{arxiv.math/9811191,
title = {Computing zeta functions over finite fields},
author = {Daqing Wan},
journal= {arXiv preprint arXiv:math/9811191},
year = {2007}
}