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Lithuanian Mathematical Journal

, Volume 57, Issue 1, pp 30–37 | Cite as

Some relations among multiplicative and q-additive functions

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Abstract

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.

Keywords

completely additive completely multiplicative q-additive function 

MSC

11K65 11N37 11N64 

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References

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Department of Computer Algebra, Faculty of InformaticsEötvös Loránd UniversityBudapestHungary

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