@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .

psr:-ND145CB9-V
  dc:created "2023-08-22"^^xsd:date ;
  skos:prefLabel "critère de Weil"@fr, "Weil's criterion"@en ;
  skos:related psr:-XMT7T41H-T ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Weil%27s_criterion> ;
  skos:broader psr:-NHFK3Q1R-H ;
  skos:inScheme psr: ;
  a skos:Concept ;
  skos:definition """In mathematics, Weil's criterion is a criterion of André Weil for the Generalized Riemann hypothesis to be true. It takes the form of an equivalent statement, to the effect that a certain generalized function is positive definite.
<br/>Weil's idea was formulated first in a 1952 paper. It is based on the explicit formulae of prime number theory, as they apply to Dirichlet L-functions, and other more general global L-functions. A single statement thus combines statements on the complex zeroes of all Dirichlet L-functions.
<br/>Weil returned to this idea in a 1972 paper, showing how the formulation extended to a larger class of L-functions (Artin-Hecke L-functions); and to the global function field case. Here the inclusion of Artin L-functions, in particular, implicates Artin's conjecture; so that the criterion involves a Generalized Riemann Hypothesis plus Artin Conjecture. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Weil%27s_criterion">https://en.wikipedia.org/wiki/Weil%27s_criterion</a>)"""@en ;
  dc:modified "2024-10-18"^^xsd:date .

psr:-NHFK3Q1R-H
  skos:prefLabel "fonction L"@fr, "L-function"@en ;
  a skos:Concept ;
  skos:narrower psr:-ND145CB9-V .

psr:-XMT7T41H-T
  skos:prefLabel "hypothèse de Riemann généralisée"@fr, "generalized Riemann hypothesis"@en ;
  a skos:Concept ;
  skos:related psr:-ND145CB9-V .

psr: a skos:ConceptScheme .