3 problems

Let $\mathbb{K}$ be a Galois extension of $\mathbb{Q}$ of degree $n$, and let $p$ be a prime such that $p\mid\mathfrak{J}(\mathbb{K}\mid\mathbb{Q})$. Let $\rho(p)$ denote the numbe…

Bhargava's Chebotarev splitting conjecture. For every prime $p$, positive integer $n$, and $\mu\in T_n^{\ast}$,

Bhargava's ramification-density conjecture. For every prime $p$ and positive integer $n$,