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- Weil_conjectures abstract "In mathematics, the Weil conjectures were some highly influential proposals by André Weil (1949) on the generating functions (known as local zeta-functions) derived from counting the number of points on algebraic varieties over finite fields.A variety V over a finite field with q elements has a finite number of rational points, as well as points over every finite field with qk elements containing that field. The generating function has coefficients derived from the numbers Nk of points over the (essentially unique) field with qk elements.Weil conjectured that such zeta-functions should be rational functions, should satisfy a form of functional equation, and should have their zeroes in restricted places. The last two parts were quite consciously modeled on the Riemann zeta function and Riemann hypothesis.The rationality was proved by Dwork (1960), the functional equation by Grothendieck (1965), and the analogue of the Riemann hypothesis was proved by Deligne (1974)".
- Weil_conjectures wikiPageExternalLink grothendieckcircle.org.
- Weil_conjectures wikiPageExternalLink index.html.
- Weil_conjectures wikiPageExternalLink 1214437492.
- Weil_conjectures wikiPageExternalLink 21.
- Weil_conjectures wikiPageExternalLink home.html.
- Weil_conjectures wikiPageExternalLink ~nmk.
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- Weil_conjectures wikiPageID "244705".
- Weil_conjectures wikiPageRevisionID "599523739".
- Weil_conjectures authorlink "André Weil".
- Weil_conjectures authorlink "Bernard Dwork".
- Weil_conjectures b "c".
- Weil_conjectures b "x".
- Weil_conjectures first "André".
- Weil_conjectures first "Bernard".
- Weil_conjectures first "O.".
- Weil_conjectures hasPhotoCollection Weil_conjectures.
- Weil_conjectures id "b/b110720".
- Weil_conjectures last "Dwork".
- Weil_conjectures last "Moreno".
- Weil_conjectures last "Weil".
- Weil_conjectures p "0".
- Weil_conjectures p "1".
- Weil_conjectures p "2".
- Weil_conjectures p "k".
- Weil_conjectures title "Bombieri-Weil bound".
- Weil_conjectures year "1949".
- Weil_conjectures year "1960".
- Weil_conjectures subject Category:Conjectures.
- Weil_conjectures subject Category:Finite_fields.
- Weil_conjectures subject Category:Fixed_points_(mathematics).
- Weil_conjectures subject Category:History_of_mathematics.
- Weil_conjectures subject Category:Homological_algebra.
- Weil_conjectures subject Category:Number_theory.
- Weil_conjectures subject Category:Theorems_in_number_theory.
- Weil_conjectures subject Category:Topological_methods_of_algebraic_geometry.
- Weil_conjectures subject Category:Zeta_and_L-functions.
- Weil_conjectures type Ability105616246.
- Weil_conjectures type Abstraction100002137.
- Weil_conjectures type Cognition100023271.
- Weil_conjectures type Communication100033020.
- Weil_conjectures type Concept105835747.
- Weil_conjectures type Conjectures.
- Weil_conjectures type Content105809192.
- Weil_conjectures type Hypothesis105888929.
- Weil_conjectures type Idea105833840.
- Weil_conjectures type Know-how105616786.
- Weil_conjectures type Message106598915.
- Weil_conjectures type Method105660268.
- Weil_conjectures type Proposition106750804.
- Weil_conjectures type PsychologicalFeature100023100.
- Weil_conjectures type Speculation105891783.
- Weil_conjectures type Statement106722453.
- Weil_conjectures type Theorem106752293.
- Weil_conjectures type TheoremsInNumberTheory.
- Weil_conjectures type TopologicalMethodsOfAlgebraicGeometry.
- Weil_conjectures comment "In mathematics, the Weil conjectures were some highly influential proposals by André Weil (1949) on the generating functions (known as local zeta-functions) derived from counting the number of points on algebraic varieties over finite fields.A variety V over a finite field with q elements has a finite number of rational points, as well as points over every finite field with qk elements containing that field.".
- Weil_conjectures label "Conjectures de Weil".
- Weil_conjectures label "Vermoedens van Weil".
- Weil_conjectures label "Weil conjectures".
- Weil_conjectures label "Weil-Vermutungen".
- Weil_conjectures label "حدسيات فايل".
- Weil_conjectures label "ヴェイユ予想".
- Weil_conjectures sameAs Weil-Vermutungen.
- Weil_conjectures sameAs Conjectures_de_Weil.
- Weil_conjectures sameAs ヴェイユ予想.
- Weil_conjectures sameAs Vermoedens_van_Weil.
- Weil_conjectures sameAs m.01kfxz.
- Weil_conjectures sameAs Q1479613.
- Weil_conjectures sameAs Q1479613.
- Weil_conjectures sameAs Weil_conjectures.
- Weil_conjectures wasDerivedFrom Weil_conjectures?oldid=599523739.
- Weil_conjectures isPrimaryTopicOf Weil_conjectures.