Original scientific paper

Uniform distribution of sequences involving divisor function

Mehdi Hassani ; Department of Mathematics, University of Zanjan, University Boulevard, Zanjan, Iran

Abstract

We modify the recent method of J.-M. Deshouillers and H. Iwaniec
in the theory of uniform distribution to show that the sequence with
general term $a_n=\frac{1}{n}\sum _{m\le n}\text{si}(m)$ is uniformly
distributed modulo 1. We also study uniform distribution modulo 1
of some sequences related by the functions $\text{si}$ and $\text{f}$.

Keywords

Euler $\text{f}$ function; sigma function; uniform distribution modulo 1

Hrčak ID:

101379

URI

https://hrcak.srce.hr/101379

Publication date:

10.5.2013.

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