Discrete uniform limit law for additive functions on shifted primes | Zendy

Gediminas Stepanauskas | Zendy; Laura Žvinytė | Zendy

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Discrete uniform limit law for additive functions on shifted primes

Author(s) -

Gediminas Stepanauskas,

Laura Žvinytė

Publication year - 2016

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2016.4.1

Subject(s) - limit (mathematics) , mathematics , law of large numbers , weak convergence , convergence (economics) , uniform limit theorem , prime (order theory) , pure mathematics , discrete mathematics , law , mathematical analysis , combinatorics , computer science , statistics , random variable , computer security , political science , economics , asset (computer security) , economic growth

Received: September 8, 2015 / Revised: January 15, 2016 / Published online: March 7, 2016 Abstract. 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 p is considered.

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