Arithmetic zeta function
From specialfunctionswiki
Let $X$ be a scheme. The arithmetic zeta function over $X$ is defined by $$\zeta_X(z)=\displaystyle\prod_x \dfrac{1}{1-N(x)^{-z}}.$$
Let $X$ be a scheme. The arithmetic zeta function over $X$ is defined by $$\zeta_X(z)=\displaystyle\prod_x \dfrac{1}{1-N(x)^{-z}}.$$