Modeling the Dirichlet distribution using multiplicative functions

For q,m,n,d ∈ N and some multiplicative function f > 0, we denote by T3(n) the sum of f(d) over the ordered triples (q,m,d) with qmd = n. We prove that Cesaro mean of distribution functions defined by means of T3 uniformly converges to the one-parameter Dirichlet distribution function. The parame...

Full description

Bibliographic Details
Main Authors: Gintautas Bareikis, Algirdas Mačiulis
Format: Article
Language:English
Published: Vilnius University Press 2020-03-01
Series:Nonlinear Analysis
Subjects:
Online Access:https://www.journals.vu.lt/nonlinear-analysis/article/view/16518