3 problems

Asymptotic cyclicity conjecture.

Let $G$ and $w\in\mathcal{L}^1(\mathbb{T})$ be as in the core-carrier conjecture, let $\mu$ have the form, and let $\operatorname{core}(w)$ denote the core of $w$. For a singular m…

Let $E/{\mathbb Q}$ be an elliptic curve, and for each prime $p$ of good reduction let $\widetilde{E}({\mathbb F}_p)$ denote the group of rational points of its reduction modulo…