Krassimir Atanassov

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 15, 2009, Number 4, Pages 23—27

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## Details

### Authors and affiliations

Krassimir Atanassov

*CLBME – Bulgarian Academy of Sciences
P.O.Box 12, Sofia-1113, Bulgaria *

### Abstract

In a series of papers the author studied some properties of the well-known arithmetic functions *φ* and *σ* (see, e.g. [5, 7]). With respect to these research, a new function was defined in [1, 2] and some of its properties were discussed there. Here we shall continue this research.

### References

- Atanassov K., New integer functions, related to “
*φ*” and “*σ*” functions, Bulletin of Number Theory and Related Topics, Vol. XI (1987), No. 1, 3-26. - Atanassov K., Some assertions on “
*φ*” and “*σ*” functions, Bulletin of Number Theory and Related Topics, Vol. XI (1987), No. 1, 50-63. - Atanassov, K. A new formula for the
*n*-th prime number. Comptes Rendus de l’Academie Bulgare des Sciences, Vol. 54, 2001, No. 7, 5-6. - Atanassov, K. On a new formula for the
*n*-th prime number. Notes on Number Theory and Discrete Mathematics, Vol. 10, 2004, No. 1, 24. - Chandrasekharan K. Introduction to Analytic Number Theory. Springer-Verlag, Berlin, 1968.
- Mitrinović, D., M. Popadić, Inequalities in Number Theory. Nis, Univ. of Nis, 1978.
- Nagell T., Introduction to number theory, John Wiley & Sons, New York, 1950.

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## Cite this paper

APAAtanassov, K. (2009). A remark on an arithmetic function. Part 3. Notes on Number Theory and Discrete Mathematics, 15(4), 23-27.

ChicagoAtanassov, Krassimir. “A Remark on an Arithmetic Function. Part 3.” Notes on Number Theory and Discrete Mathematics 15, no. 4 (2009): 23-27.

MLAAtanassov, Krassimir. “A Remark on an Arithmetic Function. Part 3.” Notes on Number Theory and Discrete Mathematics 15.4 (2009): 23-27. Print.