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