Ayad–Kihel conjecture on determining prime splitting from fixed-divisor data
Let K\mathbb{K}K be a Galois extension of Q\mathbb{Q}Q of degree nnn, and let ppp be a prime such that p∣J(K∣Q)p\mid\mathfrak{J}(\mathbb{K}\mid\mathbb{Q})p∣J(K∣Q). Let ρ(p)\rho(p)ρ(p) denote the numbe…