Article ID Journal Published Year Pages File Type
4594882 Journal of Number Theory 2009 6 Pages PDF
Abstract

In this paper we prove the simultaneous potential modularity for a finite number of elliptic curves defined over a totally real field. As an application we prove the meromorphic continuation of some L-functions associated to elliptic curves and Tate conjecture for a product of 2 or 4 elliptic curves defined over a totally real field.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory