2011arXiv (Cornell University)Open access

On additive and multiplicative arithmetical functions

Masood Aryapoor

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Abstract

A characterization of multiplicative (and additive) arithmetical functions is given. Using this characterization, we show that the group of multiplicative arithmetical functions is isomorphic to the group of additive arithmetical functions.

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A characterization of multiplicative (and additive) arithmetical functions is given. Using this characterization, we show that the group of multiplicative arithmetical functions is isomorphic to the group of additive arithmetical functions.

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Available abstract

A characterization of multiplicative (and additive) arithmetical functions is given. Using this characterization, we show that the group of multiplicative arithmetical functions is isomorphic to the group of additive arithmetical functions.

Key concepts: Arithmetic function, Multiplicative function, Mathematics, Characterization (materials science), Additive function, Group (periodic table), Arithmetic, Pure mathematics

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