A remark on an arithmetic function. Part 3

Krassimir Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 15, 2009, Number 4, Pages 23–27
Full paper (PDF, 126 Kb)

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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

1. 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.
2. Atanassov K., Some assertions on “φ” and “σ” functions, Bulletin of Number Theory and Related Topics, Vol. XI (1987), No. 1, 50-63.
3. 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.
4. 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.
5. Chandrasekharan K. Introduction to Analytic Number Theory. Springer-Verlag, Berlin, 1968.
6. Mitrinović, D., M. Popadić, Inequalities in Number Theory. Nis, Univ. of Nis, 1978.
7. Nagell T., Introduction to number theory, John Wiley & Sons, New York, 1950.