Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 4, Issue 2


Published
on

January 8, 2010


Pages

115-132


DOI

Article

Uniform Distribution Modulo 1 of the Harmonic Prime Factor of an Integer


Authors

Imre Katai Affiliation:
Department of Computer Algebra Eotvos Lorand University Pazmany Peter setany 1/C H-1117 Budapest HUNGARY
and Florian Luca Affiliation:
Mathematical Institute, UNAM Juriquilla 76230 Santiago de Queretaro, Mexico and School of Mathematics University of the Witwatersrand P. O. Box Wits 2050 SOUTH AFRICA


Abstract

Define the harmonic mean prime factor of n as the harmonic mean of the distinct prime factors of n. In this note, we show that the harmonic mean prime factor of n is uniformly distributed modulo 1.


Keywords

Uniform distribution, values of arithmetic functions.


Citation

Katai, I. & Luca, F. (2009). Uniform distribution modulo 1 of the harmonic prime factor of an integer. Uniform Distribution Theory, 4(2), 115–132.

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