Anticyclotomic p-adic L-functions and the exceptional zero phenomenon

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Title:	Anticyclotomic p-adic L-functions and the exceptional zero phenomenon
Author:	Molina Blanco, Santiago
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques
Abstract:	Let A be a modular elliptic curve over a totally real field F, and let E/F be a totally imaginary quadratic extension. In the event of exceptional zero phenomenon, we prove a formula for the derivative of the multivariable anticyclotomic p-adic L-function attached to (A,E), in terms of the Hasse-Weil L-function and certain p-adic periods attached to the respective automorphic forms. Our methods are based on a new construction of the anticyclotomic p-adic L-function by means of the corresponding automorphic representation.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra -Combinations -Arithmetical algebraic geometry -Polyhedral functions -Combinacions (Matemàtica) -Geometria algebraica aritmètica -Funcions polièdriques
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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