@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00528003v3> a dcat:Dataset ;
    dct:description """
              In both cases the proof is obtained by a contradiction with a hypothesis on the coefficients $\\nu(N)$ (resp. $\\nu^{\\star}(N)$) appearing in some rational function of the form $\\frac{\\nu(2)}{x^{N-2}}+\\cdots+\\frac{\\nu(N-2)}{x^{2}}+\\nu(N)+O_{N}$ where $O_{N}$ is some polynomial function, for the Goldbach conjecture; and of the form $\\frac{\\nu^{\\star}(4)}{x^{N-4}}+\\cdots+\\frac{\\nu^{\\star}(N-4)}{x^{4}}+\\nu^{\\star}(N)+O^{\\star}_{N}$ where $O^{\\star}_{N}$ is some polynomial function, for the twins prime numbers conjecture. In the first case, $\\nu(N)$ represents the number of times where the even number $N$ is sum of two prime numbers, and one makes the assumption that there exist $N_{0}$ such that $\\nu(N)\\neq 0$ for $N\\leq N_{0}$ and $\\nu(N_{0}+2)=0$. In the second case, $\\nu^{\\star}(N)$ is equal to $2$ or $0$ according to whether $N$, multiple of $4$, is sum of two twins prime numbers or not, and one makes the assumption that there is $N_{0}$ such that $\\nu^{\\star}(N_{0})\\neq 0$ and $\\nu^{\\star}(N)= 0\\ \\forall N\\geq N_{0}+4$. Now, the two proofs are built with the same arguments with few differences, and we use the same linear algebra calculations.
            """ ;
    dct:identifier "hal-00528003" ;
    dct:issued "2026-05-11T01:12:31.258735"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-11T01:12:31.258739"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Preuves des conjectures de Goldbach et des nombres premiers jumeaux." ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00528003v3/resource/74f61cb6-d4a2-44e3-8a34-bf241e06a334> ;
    dcat:keyword "11n05-11p32",
        "conjecture-de-goldbach",
        "infoeu-reposemanticspreprint",
        "mathmath-ntmathematics-mathnumber-theory-mathnt",
        "nombres-premiers",
        "nombres-premiers-jumeaux",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00528003> .

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    dct:format "HTML" ;
    dct:issued "2026-05-11T01:12:31.270411"^^xsd:dateTime ;
    dct:modified "2026-05-11T01:12:31.245786"^^xsd:dateTime ;
    dct:title "Preuves des conjectures de Goldbach et des nombres premiers jumeaux." ;
    dcat:accessURL <https://hal.science/hal-00528003> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00528003> a foaf:Document .