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
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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