Uniform exclusion of Landau–Siegel zeros

Abstract — v1

We prove the uniform exclusion of Landau–Siegel zeros. There is an absolute constant c > 0 such that every real zero $\beta\in(0,1)$ of every primitive nonprincipal real Dirichlet L-function of conductor q ≥ 3 satisfies $(1-\beta)\log q\ge c$.