An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin $L$-functions

no code implementations • 28 Dec 2020 • Robert J. Lemke Oliver, Jesse Thorner, Asif Zaman

Let $\mathfrak{F}_{k}^{G}(Q)$ be the family of number fields $K$ with absolute discriminant $D_K$ at most $Q$ such that $K/k$ is normal with Galois group isomorphic to $G$.

Number Theory