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Binomial limit law for additive prime indicators

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Abstract

We obtain criteria for the weak convergence of distributions of a set of strongly additive functions f x to the binomial law. We consider the case where f x (p)∈{0, 1} for every prime p. Some examples are presented.

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Correspondence to Jonas Šiaulys.

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Šiaulys, J., Stepanauskas, G. Binomial limit law for additive prime indicators. Lith Math J 51, 562–572 (2011). https://doi.org/10.1007/s10986-011-9148-y

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  • DOI: https://doi.org/10.1007/s10986-011-9148-y

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