@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 this paper we study asymptotic properties of families of zeta and $L$-functions over finite fields. We do it in the context of three main problems: the basic inequality, the Brauer--Siegel type results and the results on distribution of zeroes. We generalize to this abstract setting the results of Tsfasman, Vl\\u adu\\c t and Lachaud, who studied similar problems for curves and (in some cases) for varieties over finite fields. In the classical case of zeta functions of curves we extend a result of Ihara on the limit behaviour of the Euler--Kronecker constant. Our results also apply to $L$-functions of elliptic surfaces over finite fields, where we approach the Brauer--Siegel type conjectures recently made by Kunyavskii, Tsfasman and Hindry.
            """ ;
    dct:identifier "hal-00875861" ;
    dct:issued "2026-05-09T05:54:51.665009"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-09T05:54:51.665013"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Asymptotic properties of zeta functions over finite fields" ;
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            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00875861v2/resource/27ef6406-5df1-4294-83ff-4542cbab30ee> ;
    dcat:keyword "brauer-siegel-theorem",
        "drinfeld-vladuts-inequality",
        "elliptic-surfaces",
        "finite-field",
        "infoeu-reposemanticspreprint",
        "mathmath-ntmathematics-mathnumber-theory-mathnt",
        "preprints-working-papers-",
        "variety-over-finite-field",
        "zeta-function" ;
    dcat:landingPage <https://hal.science/hal-00875861> .

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    dct:issued "2026-05-09T05:54:51.670359"^^xsd:dateTime ;
    dct:modified "2026-05-09T05:54:51.654966"^^xsd:dateTime ;
    dct:title "Asymptotic properties of zeta functions over finite fields" ;
    dcat:accessURL <https://hal.science/hal-00875861> .

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<https://hal.science/hal-00875861> a foaf:Document .