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

psr:-VHDD6KJX-8
  skos:prefLabel "analytic number theory"@en, "théorie analytique des nombres"@fr ;
  a skos:Concept ;
  skos:narrower psr:-HLF0HQGK-P .

psr: a skos:ConceptScheme .
psr:-HLF0HQGK-P
  skos:prefLabel "Artin's conjecture on primitive roots"@en, "conjecture d'Artin sur les racines primitives"@fr ;
  skos:related psr:-FPWBKKNW-Z ;
  skos:broader psr:-VHDD6KJX-8 ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Artin%27s_conjecture_on_primitive_roots>, <https://fr.wikipedia.org/wiki/Conjecture_d%27Artin_sur_les_racines_primitives> ;
  dc:created "2023-08-03"^^xsd:date ;
  skos:definition """En théorie des nombres, la conjecture d'Artin est une conjecture sur la densité asymptotique relative de l'ensemble des nombres premiers modulo lesquels un entier relatif a donné est une racine primitive, dans l'ensemble des nombres premiers. En termes simplistes, la conjecture d'Artin affirme que a est générateur pour environ 37 % des nombres premiers. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Conjecture_d%27Artin_sur_les_racines_primitives">https://fr.wikipedia.org/wiki/Conjecture_d%27Artin_sur_les_racines_primitives</a>)"""@fr, """In number theory, Artin's conjecture on primitive roots states that a given integer a that is neither a square number nor −1 is a primitive root modulo infinitely many primes p. The conjecture also ascribes an asymptotic density to these primes. This conjectural density equals Artin's constant or a rational multiple thereof.
<br/>The conjecture was made by Emil Artin to Helmut Hasse on September 27, 1927, according to the latter's diary. The conjecture is still unresolved as of 2023. In fact, there is no single value of a for which Artin's conjecture is proved. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Artin%27s_conjecture_on_primitive_roots">https://en.wikipedia.org/wiki/Artin%27s_conjecture_on_primitive_roots</a>)"""@en ;
  a skos:Concept ;
  dc:modified "2024-10-18"^^xsd:date ;
  skos:inScheme psr: .

psr:-FPWBKKNW-Z
  skos:prefLabel "Artin's constant"@en, "constante d'Artin"@fr ;
  a skos:Concept ;
  skos:related psr:-HLF0HQGK-P .