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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:component
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gptkb:Betti_numbers
gptkb:functional_equation
rationality
analogue of Riemann hypothesis
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gptkbp:concerns
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zeta functions of algebraic varieties over finite fields
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gptkbp:field
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gptkb:algebraic_geometry
number theory
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gptkbp:formedBy
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gptkb:André_Weil
1949
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gptkbp:functionalEquationProvenBy
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gptkb:Alexander_Grothendieck
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gptkbp:influenced
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gptkb:étale_cohomology
proof of the Riemann hypothesis for varieties over finite fields
development of modern algebraic geometry
theory of motives
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gptkbp:inspiredBy
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gptkb:Riemann_hypothesis
|
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gptkbp:provenBy
|
gptkb:Alexander_Grothendieck
gptkb:Pierre_Deligne
gptkb:Bernard_Dwork
|
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gptkbp:rationalityProvenBy
|
gptkb:Bernard_Dwork
|
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gptkbp:relatedTo
|
gptkb:Weil_group
gptkb:étale_cohomology
gptkb:Weil_reciprocity_law
gptkb:Weil_zeta_function
Weil cohomology theory
motives
|
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gptkbp:RiemannHypothesisProvenBy
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gptkb:Pierre_Deligne
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gptkbp:status
|
proven
|
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gptkbp:bfsParent
|
gptkb:André_Weil
gptkb:Riemann-Roch's_theorem_in_characteristic_p
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gptkbp:bfsLayer
|
5
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|
https://www.w3.org/2000/01/rdf-schema#label
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Weil conjectures
|