| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594561 | Journal of Number Theory | 2011 | 4 Pages |
Abstract
In this paper we prove that if the Birch and Swinnerton-Dyer conjecture holds for abelian varieties attached to Hilbert newforms of parallel weight 2 with trivial central character, then the Birch and Swinnerton-Dyer conjecture holds for abelian varieties attached to Hilbert newforms of parallel weight 2 with trivial central character regarded over arbitrary totally real number fields.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
