Discrete uniform limit law for additive functions on shifted primes
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Articles
Gediminas Stepanauskas
Vilnius University
Laura Žvinytė
Vilnius University
Published 2016-07-21
https://doi.org/10.15388/NA.2016.4.1
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Keywords

additive function
discrete uniform law
frequency
weak convergence

How to Cite

Stepanauskas, G. and Žvinytė, L. (2016) “Discrete uniform limit law for additive functions on shifted primes”, Nonlinear Analysis: Modelling and Control, 21(4), pp. 437–447. doi:10.15388/NA.2016.4.1.

Abstract

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

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