126263 20241125101147.0 doi 10.1016/j.jnt.2023.02.016 sideral 133670 ART-2023-133670 eng Casazza, Daniele On p-adic L-functions for GL(2)×GL(3) via pullbacks of Saito–Kurokawa lifts 2023 Access copy available to the general public Unrestricted 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. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.6 2023 MATHEMATICS 264 / 490 = 0.539 2023 Q3 T2 0.78 2023 Algebra and Number Theory 2023 Q1 1.3 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion de Vera-Piquero, Carlos Universidad de Zaragoza (orcid)0000-0003-3673-3620 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 249 (2023), 131-182 J. number theory JOURNAL OF NUMBER THEORY 0022-314X 675989 http://zaguan.unizar.es/record/126263/files/texto_completo.pdf Versión publicada 1266331 http://zaguan.unizar.es/record/126263/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:126263 articulos driver 2024-11-22-12:05:09 ARTICLE