Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Algebraic varieties over finite fields
|
| gptkbp:defines |
Z(V, t) = exp(∑_{n=1}^∞ |V(F_{q^n})| t^n / n)
|
| gptkbp:describes |
Counting points on varieties over finite fields
|
| gptkbp:field |
gptkb:Number_theory
gptkb:Algebraic_geometry |
| gptkbp:generalizes |
gptkb:Dedekind_zeta_function
gptkb:Riemann_zeta_function |
| https://www.w3.org/2000/01/rdf-schema#label |
Zeta function of a variety
|
| gptkbp:introduced |
gptkb:André_Weil
|
| gptkbp:property |
Has connections to cohomology
Rational function in t Satisfies functional equation |
| gptkbp:relatedTo |
gptkb:Hasse–Weil_zeta_function
gptkb:Weil_conjectures gptkb:Étale_cohomology |
| gptkbp:usedIn |
gptkb:Motivic_integration
Arithmetic geometry Counting rational points |
| gptkbp:variant |
t
s |
| gptkbp:bfsParent |
gptkb:lion
|
| gptkbp:bfsLayer |
4
|