Abstract
In this paper we prove that if the Birch and Swinnerton-Dyer conjecture holds for products of abelian varieties attached to Hilbert newforms of parallel weight 2 with trivial central character, then the Birch and Swinnerton-Dyer conjecture holds for products of abelian varieties attached to Hilbert newforms of parallel weight 2 with trivial central character regarded over arbitrary totally real number fields.
Original language | English |
---|---|
Pages (from-to) | 189-194 |
Number of pages | 6 |
Journal | Functiones et Approximatio, Commentarii Mathematici |
Volume | 46 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2012 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)