@article{vonPippich2021Krone-58556,
  year={2021},
  doi={10.1016/j.jnt.2021.01.010},
  title={Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products},
  volume={225},
  issn={0022-314X},
  journal={Journal of Number Theory},
  pages={18--58},
  author={von Pippich, Anna-Maria and Schwagenscheidt, Markus and Völz, Fabian}
}

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/58556">
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:creator>von Pippich, Anna-Maria</dc:creator>
    <dc:rights>Attribution-NonCommercial-NoDerivatives 4.0 International</dc:rights>
    <dc:creator>Völz, Fabian</dc:creator>
    <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by-nc-nd/4.0/"/>
    <dc:contributor>Völz, Fabian</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Schwagenscheidt, Markus</dc:creator>
    <dc:language>eng</dc:language>
    <dc:contributor>von Pippich, Anna-Maria</dc:contributor>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-09-08T10:21:07Z</dcterms:available>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:abstract xml:lang="eng">The classical Kronecker limit formula describes the constant term in the Laurent expansion at the first order pole of the non-holomorphic Eisenstein series associated to the cusp at infinity of the modular group. Recently, the meromorphic continuation and Kronecker limit type formulas were investigated for non-holomorphic Eisenstein series associated to hyperbolic and elliptic elements of a Fuchsian group of the first kind by Jorgenson, Kramer and the first named author. In the present work, we realize averaged versions of all three types of Eisenstein series for as regularized theta lifts of a single type of Poincaré series, due to Selberg. Using this realization and properties of the Poincaré series we derive the meromorphic continuation and Kronecker limit formulas for the above Eisenstein series. The corresponding Kronecker limit functions are then given by the logarithm of the absolute value of the Borcherds product associated to a special value of the underlying Poincaré series.</dcterms:abstract>
    <dcterms:title>Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products</dcterms:title>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/58556"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-09-08T10:21:07Z</dc:date>
    <dcterms:issued>2021</dcterms:issued>
    <dc:contributor>Schwagenscheidt, Markus</dc:contributor>
  </rdf:Description>
</rdf:RDF>