--- date: 2022-05-16 17:17 modification date: Monday 16th May 2022 17:17:19 title: "Weil zeta function" aliases: [Weil zeta function] --- Last modified date: <%+ tp.file.last_modified_date() %> --- - Tags: - #todo/untagged - Refs: - #todo/add-references - Links: - [Weil Conjectures](Unsorted/Weil%20Conjectures.md) --- # Weil zeta function For $X$ a nonsingular projective algebraic variety, $$ \zeta(X, s)=\exp \left(\sum_{m=1}^{\infty} \frac{N_{m}}{m} q^{-m s}\right) $$