The distribution law of divisors on a sequence of integers

Modeling the Dirichlet distribution using multiplicative functions

“…Manstavičius [12] noticed that not only the Arcsine law but also some other distributions can occur as a limits. Some ideas of these papers were extensively used for the simulation of some Beta related distributions by means of the divisor function with multiplicative weight (see [1,2,4,5,7,8]). General result of this type for any Beta distribution B(a, b) was obtained in [3].…”