The <Chebotarev density theorem> states that for a finite Galois extension $L/K$ and a conjugacy class $C\subseteq\operatorname{Gal}(L/K)$, the unramified primes whose Frobenius conjugacy class is $C$ have Dirichlet density
$$
\boxed{\frac{|C|}{|\operatorname{Gal}(L/K)|}}.
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 123 / 5 / c / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/iii/paper-123/5/c/solution