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.
Citation
Cristian Virdol. "Base change and the Birch and Swinnerton-Dyer conjecture." Funct. Approx. Comment. Math. 46 (2) 189 - 194, June 2012. https://doi.org/10.7169/facm/2012.46.2.4
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