@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-00423849v2> a dcat:Dataset ;
    dct:description """
              Let d and m be two natural numbers of distinct parities. Let $\\pi$ be an admissible irreducible tempered representation of GL(d,F), where F is a p-adic field. We assume that $\\pi$ is self-dual. Then we can extend $\\pi$ as a representation $\\tilde{\\pi}$ of a non-connected group $GL(d,F)\\rtimes \\{1,\\theta\\}$. Let $\\rho$ be a representation of GL(m,F). We assume that it has similar properties as $\\pi$. Jacquet, Piatetski-Shapiro and Shalika have defined the factor $\\epsilon(s,\\pi\\times\\rho,\\psi)$. We prove that we can compute $\\epsilon(1/2,\\pi\\times\\rho,\\psi)$ by an integral formula where occur the characters of $\\tilde{\\pi}$ and $\\tilde{\\rho}$. It's similar to the formula which, for special orthogonal groups, computes the multiplicities appearing in the local Gross-Prasad conjecture.
            """ ;
    dct:identifier "hal-00423849" ;
    dct:issued "2026-05-19T23:26:00.839366"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-19T23:26:00.839371"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Calcul d'une valeur d'un facteur epsilon par une formule intégrale" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00423849v2/resource/db95c913-c2e5-4f2d-b251-b7cf019423a9> ;
    dcat:keyword "ams-22e35-22e50",
        "caracteres",
        "facteur-epsilon",
        "groupe-lineaire-tordu",
        "infoeu-reposemanticspreprint",
        "mathmath-rtmathematics-mathrepresentation-theory-mathrt",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00423849> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00423849v2/resource/db95c913-c2e5-4f2d-b251-b7cf019423a9> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-19T23:26:00.880761"^^xsd:dateTime ;
    dct:modified "2026-05-19T23:26:00.821728"^^xsd:dateTime ;
    dct:title "Calcul d'une valeur d'un facteur epsilon par une formule intégrale" ;
    dcat:accessURL <https://hal.science/hal-00423849> .

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

<https://hal.science/hal-00423849> a foaf:Document .

