On anticyclotomic variants of the $p$-adic Birch and Swinnerton-Dyer conjecture

Adebisi Agboola, Francesc Castella

We formulate analogues of the Birch and Swinnerton-Dyer conjecture for the $p$-adic $L$-functions of Bertolini-Darmon-Prasanna attached to elliptic curves $E/\mathbf{Q}$ at primes…