Some relations among multiplicative and q-additive functions
- 68 Downloads
We give all solutions of the equation f(n) = g(n) + h(n) for every n ∈ ℕ, where f is a completely multiplicative, g is a 2-additive, and h is a 3-additive function. We also determine all completely multiplicative functions f and all q-additive functions g for which f(n) = g 2(n) for every n ∈ ℕ.
Keywordscompletely additive completely multiplicative q-additive function
MSC11K65 11N37 11N64
Unable to display preview. Download preview PDF.
- 1.P.D.T.A. Elliott, Arithmetic Functions and Integer Products, Grundlehren Math.Wiss., Vol. 272, Springer, New York, Berlin, 1985.Google Scholar