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m Disambiguating links to Singular (link changed to Singular point of an algebraic variety) using DisamAssist. |
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:<math>Z(V, s) = \exp\left(\sum_{m = 1}^\infty \frac{N_m}{m} (q^{-s})^m\right)</math>
where {{mvar|V}} is a [[Singular point of an algebraic variety|non-singular]] {{mvar|n}}-dimensional [[projective algebraic variety]] over the field {{math|'''F'''<sub>''q''</sub>}} with {{mvar|q}} elements and {{math|''N''<sub>''m''</sub>}} is the number of points of {{mvar|''V''}} defined over the finite field extension {{math|'''F'''<sub>''q''<sup>''m''</sup></sub>}} of {{math|'''F'''<sub>''q''</sub>}}.<ref>Section V.2 of {{Citation
| last=Silverman
| first=Joseph H.
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