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A discrete mean value of the Riemann zeta function and its derivatives

Speaker: Ertan Elma

Date: Wed, Jan 31, 2024

Location: PIMS, University of Lethbridge, Online, Zoom

Conference: Lethbridge Number Theory and Combinatorics Seminar

Subject: Mathematics, Number Theory

Class: Scientific

Abstract:

In this talk, we will discuss an estimate for a discrete mean value of the Riemann zeta function and its derivatives multiplied by Dirichlet polynomials. Assuming the Riemann Hypothesis, we obtain a lower bound for the 2kth moment of all the derivatives of the Riemann zeta function evaluated at its nontrivial zeros. This is based on a joint work with Kübra Benli and Nathan Ng.

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