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@prefix ocresp: <http://purl.org/net/OCRe/study_protocol.owl#> .
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        rdfs:label                "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" ;
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        rdfs:label                "Dirichlet Series Expansions of p-adic L-functions" , "RDF description of Dirichlet Series Expansions of p-adic L-functions - https://fis.th-koeln.de/vivo/individual/publ_16210" ;
        thkoeln:dokumententyp     "Wissenschaftlicher Artikel" ;
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                <https://fis.th-koeln.de/vivo/individual/FF_001> ;
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                <https://fis.th-koeln.de/vivo/individual/10000137> ;
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                <https://fis.th-koeln.de/vivo/individual/cite_16210-0> , <https://fis.th-koeln.de/vivo/individual/cite_16210-1> , <https://fis.th-koeln.de/vivo/individual/cite_16210-2> ;
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        bibo:abstract             "We study p-adic L-functions Lp(s, χ) for Dirichlet characters χ. We show that Lp(s, χ) has a Dirichlet series expansion for each regularization parameter c that is prime to p and the conductor of χ. The expansion is proved by transforming a known formula for p-adic L-functions and by controlling the limiting behavior. A finite number of Euler factors can be factored off in a natural manner from the p-adic Dirichlet series. We also provide an alternative proof of the expansion using p-adic measures and give an explicit formula for the values of the regularized Bernoulli distribution. The result is particularly simple for c= 2 , where we obtain a Dirichlet series expansion that is similar to the complex case." ;
        bibo:doi                  "10.1007/s12188-021-00244-0" ;
        bibo:issue                "2" ;
        bibo:pageEnd              "334" ;
        bibo:pageStart            "325" ;
        bibo:volume               "91" ;
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        vivo:freetextKeyword      "Dirichlet Characters" , "Euler Factors" , "p-adic Measures" , "p-adic L-Functions" , "Dirichlet Series" , "Regularized Bernoulli Distributions" ;
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