Automorphic SL2-periods and the subconvexity problem for GL2xGL3

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Title:	Automorphic SL2-periods and the subconvexity problem for GL2xGL3
Author:	Pal, Aprameyo; Vera Piquero, Carlos de
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques
Abstract:	Preprint sotmès a publicació.
Abstract:	We prove a new (conditional) result towards the subconvexity problem for certain automorphic L-functions for GL2xGL3. This follows from the computation of new SL2-period integrals associated with newforms f and g of even weight and odd squarefree level. The same computations lead to a central value formula for degree 6 comples L-series of the form L(f x Ad(g),s), extending previous work.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres -Number theory -Nombres, Teoria dels
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Draft Report
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