# Rationality of Partial Zeta Functions

```@article{Wan2003RationalityOP,
title={Rationality of Partial Zeta Functions},
author={Daqing Wan},
journal={Indagationes Mathematicae},
year={2003},
volume={14},
pages={285-292}
}```
• D. Wan
• Published 10 April 2003
• Mathematics
• Indagationes Mathematicae
Partial zeta functions for y − x
A partial zeta function is a type of generating function for the number of solutions to systems of polynomials over finite fields introduced by Wan [2] to generalize local zeta functions. Wan [3]
Lectures on zeta functions over finite fields
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• Mathematics
• 2021
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We give an introduction to zeta functions over nite elds, focusing on moment zeta functions and zeta functions of a ne toric hypersurfaces.

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Motivated by arithmetic applications, we introduce the notion of a partial zeta function which generalizes the classical zeta function of an algebraic variety defined over a finite field. We then
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