Distribution of values of additive functions on short intervals

Authors

  • N. V. Taranenko

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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Published

25.02.2000

Issue

Vol. 52 No. 2 (2000)

Section

Research articles

How to Cite

Taranenko, N. V. “Distribution of Values of Additive Functions on Short Intervals”. Ukrains’kyi Matematychnyi Zhurnal, vol. 52, no. 2, Feb. 2000, pp. 257-65, https://umj.imath.kiev.ua/index.php/umj/article/view/4414.