Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594882 | Journal of Number Theory | 2009 | 6 Pages |
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