Title: An Explicit Vinogradov--Korobov Zero-Free Region for Dirichlet L-Functions"
Abstract: Vinogradov and Korobov proved that there exists an absolute and effectively computable constant c>0 such that the Riemann zeta function zeta(sigma+it) does not vanish in the region sigma > 1 - c (log |t|)^(-2/3) (\log\log |t|)^)(-1/3) for |t| >= 3. Ford proved that one may take c = 1/57.54. If |t| is sufficiently large, then this improves to 1/49.13. In this talk, I will discuss recent work in which I establish the first explicit versions of the Vinogradov--Korobov zero-free region for Dirichlet L-functions.
