Properties of the restrictive factor

Laurențiu Panaitopol
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 9, 2003, Number 3, Pages 59–61
Full paper (PDF, 1087 Kb)

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Authors and affiliations

Laurențiu Panaitopol
University of Bucharest, Faculty of Mathematics
14 Academiei St., RO–010014 Bucharest, Romania

Abstract

In [1] Krassimir Atanassov has introduced the arithmetic function RF(n) defined by RF(1) = 1 and RF(n) = q₁^α₁−1q₂^α₂−1… q_k^α_k−1 whenever n = q₁^α₁ q₂^α₂… q_k^α_k, where q₁, …, q_k are pairwise different prime numbers and we have α₁…α_k ≥ 1. The function RF(n) is called the restrictive factor. In the present paper we denote it simply by R(n).

References

1. Atanassov, K., Restrictive factor: Definition, properties and problems. Number Theory and Discrete Mathematics 8(2002), no. 4, 117-119.
2. Panaitopol, L., Properties of the function γ(n), Publications de C.R.M.P. Neuchatel Serie 1, 32(2001), 25-31.