Pullbacks of Saito-Kurokawa lifts and a central value formula for degree 6 L-series

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Título:	Pullbacks of Saito-Kurokawa lifts and a central value formula for degree 6 L-series
Autor/a:	Pal, Aprameyo; Vera Piquero, Carlos de
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtiques
Abstract:	We prove an explicit central value formula for a family of complex L-series of degree 6 for GL2 × GL3 which arise as factors of certain Garret–Rankin triple product L-series associated with modular forms. Our result generalizes a previous formula of Ichino involving Saito–Kurokawa lifts, and as an application we prove Deligne’s conjecture stating the algebraicity of the central values of the considered L-series up to the relevant periods.
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica -Number theory -Algebraic geometry -Nombres, Teoria dels -Geometria algebraica
Derechos:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión presentada Artículo
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