A sequence of distributions related to the divisor function

We consider a sequence of distributions defined via the generalized divisor function. We describe the possible limit distributions and estimate the remainder terms.     

Arithmetic Processes in Semigroups

We consider the asymptotic behavior of the distributions of stochastic processes defined by multiplicative functions in an arithmetic semigroup.     

Modeling the beta distribution using multiplicative functions

We prove that any beta distribution can be simulated by means of a sequence of distributions defined via multiplicative functions related to the generalized divisors function. We also estimate the remainder terms.     

Poisson Distribution in the Polynomial Semigroup

We consider the asymptotic behavior of the distributions of arithmetic functions in polynomial semigroups.__________Published in Lietuvos Matematikos Rinkinys, Vol. 44, No. 4, pp. 429–442, October–December, 2004.