A conditional p-part Birch-Swinnerton-Dyer formula is proved for analytic rank one elliptic curves over CM quadratic extensions of totally real fields, under the anticyclotomic Iwasawa main conjecture.
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A $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields
A conditional p-part Birch-Swinnerton-Dyer formula is proved for analytic rank one elliptic curves over CM quadratic extensions of totally real fields, under the anticyclotomic Iwasawa main conjecture.