Evidence of Random Matrix Corrections for the Large Deviations of Selberg's Central Limit Theorem

Eli Amzallag, Louis-Pierre Arguin, Emma Bailey +2

Selberg's central limit theorem states that the values of $\log |\zeta (1/2+i\tau )|$, where $\tau$ is a uniform random variable on $[T,2T]$, is distributed like a Gaussian random variable of…