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Computing zeta functions over finite fields

Daqing Wan
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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 $p^m$ of the zeta function of a hypersurface, where $p$ 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.

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Daqing Wan. 1998-11-05. Computing zeta functions over finite fields. https://arxiv.org/abs/math/9811191

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