Poisson-Dirichlet statistics for the log-modulus of the Riemann zeta function on expanding intervals near the critical line

Frédéric Ouimet

For $T>0$ large, let $\tau$ be uniformly distributed on $[T,2T]$ and let $\sigma =\sigma (T)$ be a deterministic real part approaching $1/2$ from the right. For the Riemann zeta function $\zeta$,…