Lower bounds for moments of the derivative of the Riemann zeta function

TL;DR

This paper derives precise lower bounds for the moments of the derivative of the Riemann zeta function on the critical line, advancing understanding of its behavior for all real moments.

Contribution

It provides sharp lower bounds for the 2k-th moments of the zeta function's derivative for all real k ≥ 0, a significant extension of prior results.

Findings

Established sharp lower bounds for moments of zeta derivative

Extended results to all real moments k ≥ 0

Contributed to the understanding of zeta function's critical line behavior

Abstract

We establish in this paper sharp lower bounds for the $2k$-th moment of the derivative of the Riemann zeta function on the critical line for all real $k \geq 0$.