@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#> .

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    dct:description """
              In \\cite{cartier2}, Pierre Cartier conjectured that for any non commutative formal power series $\\Phi$ on $X=\\{x_0,x_1\\}$ with coefficients in a $\\Q$-extension, $A$, subjected to some suitable conditions, there exists an unique algebra homomorphism $\\varphi$ from the $\\Q$-algebra generated by the convergent polyzêtas to $A$ such that $\\Phi$ is computed from $\\Phi_{KZ}$ Drinfel'd associator by applying $\\varphi$ to each coefficient. We prove $\\varphi$ exists and it is a free Lie exponential over $X$. Moreover, we give a complete description of the kernel of polyzêta and draw some consequences about a structure of the algebra of convergent polyzêtas and about the arithmetical nature of the Euler constant.
            """ ;
    dct:identifier "hal-00423455" ;
    dct:issued "2026-05-15T20:54:38.527070"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-15T20:54:38.527075"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "On a conjecture by Pierre Cartier about a group of associators." ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00423455v11/resource/86992b4b-0825-4b44-922c-b5ce0b50db17> ;
    dcat:keyword "infoeu-reposemanticspreprint",
        "mathmath-comathematics-mathcombinatorics-mathco",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00423455> .

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    dct:issued "2026-05-15T20:54:38.547951"^^xsd:dateTime ;
    dct:modified "2026-05-15T20:54:38.517928"^^xsd:dateTime ;
    dct:title "On a conjecture by Pierre Cartier about a group of associators." ;
    dcat:accessURL <https://hal.science/hal-00423455> .

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    foaf:name "test_moissonnage_selune" .

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