Riemann hypothesis for curves over finite fields
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite fields
algebraic curves |
| gptkbp:category |
gptkb:algebraic_geometry
number theory |
| gptkbp:formedBy |
gptkb:André_Weil
|
| gptkbp:generalizes |
gptkb:Weil_conjectures
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riemann hypothesis for curves over finite fields
|
| gptkbp:implies |
bounds on the number of rational points on a curve over a finite field
|
| gptkbp:influenced |
development of étale cohomology
proof of Weil conjectures by Pierre Deligne |
| gptkbp:provenBy |
gptkb:André_Weil
|
| gptkbp:relatedTo |
gptkb:Riemann_hypothesis
gptkb:Weil_conjectures |
| gptkbp:state |
The zeros of the zeta function of a curve over a finite field have real part 1/2
|
| gptkbp:yearProved |
1940s
|
| gptkbp:bfsParent |
gptkb:Hasse–Weil_theorem
|
| gptkbp:bfsLayer |
7
|