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Derivation of arithmetical functions under the Dirichlet convolution

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We present the group-theoretic structure of the classes of multiplicative and firmly multiplicative arithmetical functions of several variables under the Dirichlet convolution, and we give characterizations of these two classes… Click to show full abstract

We present the group-theoretic structure of the classes of multiplicative and firmly multiplicative arithmetical functions of several variables under the Dirichlet convolution, and we give characterizations of these two classes in terms of a derivation of arithmetical functions.

Keywords: dirichlet convolution; functions dirichlet; arithmetical functions; derivation arithmetical

Journal Title: International Journal of Number Theory
Year Published: 2017

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