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.
Original language | English |
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Pages (from-to) | 681-684 |
Number of pages | 4 |
Journal | Journal of Number Theory |
Volume | 131 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2011 Apr |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory