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    Arithmetic Function

    Alternate name
    Definition

    An arithmetic function is a function f(n) defined for all n element N, usually taken to be complex-valued, so that f:N->C. An alternative definition of arithmetic function is a function ψ(n) such that ψ(n + m) = ψ(ψ(n) + ψ(m)) and ψ(n m) = ψ(ψ(n) ψ(m)) (Atanassov 1985; Trott 2004, p. 28).

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