On the moments of the moments of $\zeta (1/2+it)$

E. C. Bailey, J. P. Keating

Taking $t$ at random, uniformly from $[0,T]$, we consider the $k$th moment, with respect to $t$, of the random variable corresponding to the $2\beta$th moment of $\zeta (1/2+ix)$ over the i…