3 problems

Let $F$ be the number field in the Bianchi modular setting, let $p$) be a prime satisfying the residual non-vanishing hypotheses, and let $\mathfrak{Y}$ be the set of finite order…

Let $f$ be the Bianchi cuspidal eigenform and $V_p(f)$ its attached $p$-adic Galois representation. For each embedding $\sigma:F_{\mathfrak p}\hookrightarrow L$, let…

Let $K$ be an imaginary quadratic field. A Bianchi newform is a weight-$2$ automorphic form over $K$ at level $\mathcal{K}_0(\mathfrak{n})$, and an elliptic curve over $K$ has cond…