A remark on the number of distinct prime divisors of integers

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Published: Mar 30, 2017
DOI: https://doi.org/10.5556/j.tkjm.48.2017.1842
Keywords:
Prime number arithmetic function

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Mehdi Hassani
University of Zanjan

Abstract

We study the asymptotic formula for the sum $\sum_{n\leqslant x}\o(n)$ where $\o(n)$ denotes the number of distinct prime divisors of $n$, and we perform some computations which detect curve patterns in the distribution of a related sequence.

Article Details

How to Cite
Hassani, M. (2017). A remark on the number of distinct prime divisors of integers. Tamkang Journal of Mathematics, 48(1), 13–15. https://doi.org/10.5556/j.tkjm.48.2017.1842
Issue
Vol. 48 No. 1 (2017)
Section
Papers
Author Biography

Mehdi Hassani, University of Zanjan

Department ofMathematics, University of Zanjan, University Blvd., 45371-38791, Zanjan, Iran.

References

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