On p-adic L-functions for GL(2)×GL(3) via pullbacks of Saito–Kurokawa lifts

Casazza, Daniele ; de Vera-Piquero, Carlos (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.jnt.2023.02.016

Año: 2023

Publicado en: JOURNAL OF NUMBER THEORY 249 (2023), 131-182
ISSN: 0022-314X

Factor impacto JCR: 0.6 (2023)

Categ. JCR: MATHEMATICS rank: 264 / 490 = 0.539 (2023) - Q3 - T2

Factor impacto CITESCORE: 1.3 - Algebra and Number Theory (Q2)

Factor impacto SCIMAGO: 0.78 - Algebra and Number Theory (Q1)

Tipo y forma: Article (Published version)

Área (Departamento): Área Algebra (Dpto. Matemáticas)