Discrete uniform limit law for additive functions on shifted primes

The sufficient and necessary conditions for a weak convergence of distributions of a set of strongly additive functions fx , x ⩾ 2, the arguments of which run through shifted primes, to the discrete uniform law are obtained. The case when fx (p) ∈ {0, 1} for every prime pis considered.

Bibliographic Details
Main Authors: Gediminas Stepanauskas, Laura Žvinytė
Format: Article
Language:English
Published: Vilnius University Press 2016-07-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13453