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 $a_n=\frac{1}{n}\sum_{m\leq n}\si(m)$ is uniformly
distributed modulo 1. We also study uniform distribution modulo 1
of some sequences related by the functions $\si$ and $\f$.

Keywords

Euler $\f$ function; sigma function; uniform distribution modulo 1

Hrčak ID:

101379

URI

https://hrcak.srce.hr/101379

Publication date:

10.5.2013.

Visits: 1.680 *