Abstract
All those complex valued multiplicative functions f and g are characterized for which g(n + k) − f(n) → 0 (n → ∞) is satisfied (k is an arbitrary nonzero integer).
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Kátai, I., Phong, B.M. A Characterization of n s as a Multiplicative Function . Acta Mathematica Hungarica 87, 317–331 (2000). https://doi.org/10.1023/A:1006725819093
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DOI: https://doi.org/10.1023/A:1006725819093