000126263 001__ 126263
000126263 005__ 20241125101147.0
000126263 0247_ $$2doi$$a10.1016/j.jnt.2023.02.016
000126263 0248_ $$2sideral$$a133670
000126263 037__ $$aART-2023-133670
000126263 041__ $$aeng
000126263 100__ $$aCasazza, Daniele
000126263 245__ $$aOn p-adic L-functions for GL(2)×GL(3) via pullbacks of Saito–Kurokawa lifts
000126263 260__ $$c2023
000126263 5060_ $$aAccess copy available to the general public$$fUnrestricted
000126263 5203_ $$aWe 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.
000126263 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000126263 590__ $$a0.6$$b2023
000126263 592__ $$a0.78$$b2023
000126263 591__ $$aMATHEMATICS$$b264 / 490 = 0.539$$c2023$$dQ3$$eT2
000126263 593__ $$aAlgebra and Number Theory$$c2023$$dQ1
000126263 594__ $$a1.3$$b2023
000126263 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000126263 700__ $$0(orcid)0000-0003-3673-3620$$ade Vera-Piquero, Carlos$$uUniversidad de Zaragoza
000126263 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra
000126263 773__ $$g249 (2023), 131-182$$pJ. number theory$$tJOURNAL OF NUMBER THEORY$$x0022-314X
000126263 8564_ $$s675989$$uhttps://zaguan.unizar.es/record/126263/files/texto_completo.pdf$$yVersión publicada
000126263 8564_ $$s1266331$$uhttps://zaguan.unizar.es/record/126263/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000126263 909CO $$ooai:zaguan.unizar.es:126263$$particulos$$pdriver
000126263 951__ $$a2024-11-22-12:05:09
000126263 980__ $$aARTICLE