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<dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:invenio="http://invenio-software.org/elements/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:identifier>doi:10.1016/j.jnt.2023.02.016</dc:identifier><dc:language>eng</dc:language><dc:creator>Casazza, Daniele</dc:creator><dc:creator>de Vera-Piquero, Carlos</dc:creator><dc:title>On p-adic L-functions for GL(2)×GL(3) via pullbacks of Saito–Kurokawa lifts</dc:title><dc:identifier>ART-2023-133670</dc:identifier><dc:description>We build a one-variable p-adic L-function attached to two Hida families of ordinary p-stabilised newforms f, g, interpolating the algebraic part of the central values of the complex L-series when f and g range over the classical specialisations of f, g on a suitable line of the weight space. The construction rests on two major results: an explicit formula for the relevant complex central L-values, and the existence of non-trivial Λ-adic Shintani liftings and Saito–Kurokawa liftings studied in a previous work by the authors. We also illustrate that, under an appropriate sign assumption, this p-adic L-function arises as a factor of a triple product p-adic L-function attached to f, g, and g.</dc:description><dc:date>2023</dc:date><dc:source>http://zaguan.unizar.es/record/126263</dc:source><dc:doi>10.1016/j.jnt.2023.02.016</dc:doi><dc:identifier>http://zaguan.unizar.es/record/126263</dc:identifier><dc:identifier>oai:zaguan.unizar.es:126263</dc:identifier><dc:identifier.citation>JOURNAL OF NUMBER THEORY 249 (2023), 131-182</dc:identifier.citation><dc:rights>by</dc:rights><dc:rights>http://creativecommons.org/licenses/by/3.0/es/</dc:rights><dc:rights>info:eu-repo/semantics/openAccess</dc:rights></dc:dc>

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