A Discrete Mean Value of the Riemann Zeta Function and its Derivatives

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.

combinatoricsnumber theory

Audience: researchers in the topic

Lethbridge number theory and combinatorics seminar