Leírás
Zero-density theorems play an important role in the theory of Riemann and Dedekind zeta functions. I will present a proof for a general zero-density theorem valid for a class of Dirichlet series which include as special cases among others the Riemann zeta-function and Dedekind zeta-functions. Due to the application of an idea of Gábor Halász these results give sharper bounds in the vicinity of the boundary line $\mbox{Res}=1,$ similarly to the pioneering theorems of Gábor Halász and Paul Turán. If applied to algebraic number fields of degree $n,$ they improve earlier results in some ranges for all $n>2$ (and for $n=1,$ the case of the Riemann zeta function.
Meeting link: https://unideb.webex.com/unideb/j.php?MTID=m271bc903c52b5e3a3542dbf22e6ec5e0
Meeting number: 2732 852 9367