Difference between revisions of "Arithmetic zeta function"
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(Created page with "Let $X$ be a scheme. The arithmetic zeta function over $X$ is defined by $$\zeta_X(z)=\displaystyle\prod_x \dfrac{1}{1-N(x)^{-z}}.$$") |
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Let $X$ be a [[scheme]]. The arithmetic zeta function over $X$ is defined by | Let $X$ be a [[scheme]]. The arithmetic zeta function over $X$ is defined by | ||
$$\zeta_X(z)=\displaystyle\prod_x \dfrac{1}{1-N(x)^{-z}}.$$ | $$\zeta_X(z)=\displaystyle\prod_x \dfrac{1}{1-N(x)^{-z}}.$$ | ||
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| + | [[Category:SpecialFunction]] | ||
Latest revision as of 18:51, 24 May 2016
Let $X$ be a scheme. The arithmetic zeta function over $X$ is defined by $$\zeta_X(z)=\displaystyle\prod_x \dfrac{1}{1-N(x)^{-z}}.$$
