Mean values of the logarithmic derivative of the Riemann zeta‐function near the critical line
Mean values of the logarithmic derivative of the Riemann zeta‐function near the critical line
Abstract Assuming the Riemann hypothesis and a hypothesis on small gaps between zeta zeros (see equation (ES 2 K ) below for a precise definition), we prove a conjecture of Bailey, Bettin, Blower, Conrey, Prokhorov, Rubinstein and Snaith [J. Math. Phys. 60 (2019), no. 8, 083509], which states that for …