  Rescaled Mellin-type transforms of the exponential functional of the
Bourgade-Kuan-Rodgers statistic of Riemann zeroes are conjecturally related to
the distribution of the total mass of the limit lognormal stochastic measure of
Mandelbrot-Bacry-Muzy. The conjecture implies that a non-trivial,
log-infinitely divisible probability distribution is associated with Riemann
zeroes. For application, integral moments, covariance structure, multiscaling
spectrum, and asymptotics associated with the exponential functional are
computed in closed form using the known meromorphic extension of the Selberg
integral.
