Pintz János: A general zero-density theorem and zeros of the Dedekind zeta-function.

Zero-density theorems play an important role in the theory of Riemann and Dedekind zeta function. 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 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). február 13., 14:15, Rényi Intézet Nagyterem (Main Lecture Hall) AND Zoom ***** Andras Biro is inviting you to a scheduled Zoom meeting. Topic: szeminarium Time: Feb 13, 2024 02:00 PM Budapest Join Zoom Meeting https://us06web.zoom.us/j/84637873699?pwd=H1f1Xogq8CPgz3DfbBXfjw00JFO4H8.1 Meeting ID: 846 3787 3699 Passcode: 002615