Some relations among multiplicative and q-additive functions |
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| Authors: | Imre Kátai Bui Minh Phong |
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| Affiliation: | 1.Department of Computer Algebra, Faculty of Informatics,E?tv?s Loránd University,Budapest,Hungary |
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| Abstract: | We give all solutions of the equation f(n) = g(n) + h(n) for every 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 ∈ ?. |
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