3 problems

Wong's supercharacter theoretic Artin conjecture. For every $X\in\mathcal X$, the function $L(s,\sigma_X)$ is holomorphic in

Converse nilpotence conjecture. If

Let $K/F$ be a Galois extension of number fields with Galois group $G$. Let $(X,K)$ be a supercharacter theory of $G$, and let $\operatorname{Sup}(G)$ be the set of supercharacters…