On certain generalizations of the Smarandache function

@inproceedings{Sndor2014OnCG,
  title={On certain generalizations of the Smarandache function},
  author={S{\'a}ndor and Babe},
  year={2014}
}
J1 1. The famous Smarandache function is defined by S(n) := min{k EN: nlk~}, n ~ 1 positive integer. This arithmetical function is connected to the number of divisors of n, and other important number theoretic functions (see e.g. [6], [7], [9], [10]). A very natural generalization is the following one: Let f : N* ~ N* be an arithmetical function which satisfies the following property: (Pd For each n E N* there exists at least a k E N* such that nlf(k). Let Fj : N* ~ Ndefined by 

References

Publications referenced by this paper.
SHOWING 1-8 OF 8 REFERENCES

Introduction to the theory of numbers

H. N. Shapiro
  • Wiley
  • 1983
VIEW 2 EXCERPTS

Quelques problemes de theorie des nombres, L 'Enseigneme:1t ~lath

P. Erdos
  • 1963