An effective Chebotarev density theorem for families of number fields, with an application to $\ell$-torsion in class groups

Lillian B. Pierce, Caroline L. Turnage-Butterbaugh, Melanie Matchett Wood

We prove a new effective Chebotarev density theorem for Galois extensions $L/\mathbb{Q}$ that allows one to count small primes (even as small as an arbitrarily small power of the d…