Abstract
We consider a family of completely additive functions βq(n) defined on the set of natural numbers. We find an asymptotic expression for the summation function Σ n≤x β q (n study its distribution on short intervals.
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Taranenko, N.V. Distribution of values of additive functions on short intervals. Ukr Math J 52, 294–304 (2000). https://doi.org/10.1007/BF02529641
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DOI: https://doi.org/10.1007/BF02529641