Abstract
We consider the limit distribution of values of a sum of sets of strongly additive arithmetic functions with shifted argument. We obtain sufficient and necessary conditions for a weak convergence of distributions of that sum to the discrete uniform law. The case where those functions take values 0 or 1 on primes is studied.
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Stepanauskas, G., Žvinytė, L. Discrete uniform distribution for a sum of additive functions. Lith Math J 57, 391–400 (2017). https://doi.org/10.1007/s10986-017-9368-x
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DOI: https://doi.org/10.1007/s10986-017-9368-x