@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: a skos:ConceptScheme .
psr:-P36V4MHV-V
  skos:prefLabel "fonction zêta de Riemann"@fr, "Riemann zeta function"@en ;
  a skos:Concept ;
  skos:narrower psr:-JR31C2H3-1 .

psr:-JR31C2H3-1
  a skos:Concept ;
  skos:definition """In mathematics, the Riemann–Siegel formula is an asymptotic formula for the error of the approximate functional equation of the Riemann zeta function, an approximation of the zeta function by a sum of two finite Dirichlet series. It was found by Siegel (1932) in unpublished manuscripts of Bernhard Riemann dating from the 1850s. Siegel derived it from the Riemann–Siegel integral formula, an expression for the zeta function involving contour integrals. It is often used to compute values of the Riemann–Siegel formula, sometimes in combination with the Odlyzko–Schönhage algorithm which speeds it up considerably. When used along the critical line, it is often useful to use it in a form where it becomes a formula for the Z function. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Riemann%E2%80%93Siegel_formula">https://en.wikipedia.org/wiki/Riemann%E2%80%93Siegel_formula</a>)"""@en, """En mathématiques, et plus précisément en analyse, la formule de Riemann-Siegel est une estimation asymptotique de l'erreur de l'équation fonctionnelle d'approximation de la fonction zêta de Riemann, c'est-à-dire une approximation de la fonction zêta par la somme de séries de Dirichlet finies. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Formule_de_Riemann-Siegel">https://fr.wikipedia.org/wiki/Formule_de_Riemann-Siegel</a>)"""@fr ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Riemann%E2%80%93Siegel_formula>, <https://fr.wikipedia.org/wiki/Formule_de_Riemann-Siegel> ;
  skos:prefLabel "Riemann-Siegel formula"@en, "formule de Riemann-Siegel"@fr ;
  dc:modified "2024-10-18"^^xsd:date ;
  skos:inScheme psr: ;
  dc:created "2023-08-22"^^xsd:date ;
  skos:broader psr:-P36V4MHV-V .

