Arithmetic function: Difference between revisions

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In [[number theory]], an '''arithmetic function''' (or '''number-theoretic function''') ''f''(''n'') is a [[Function (mathematics)|function]] defined for all positive [[integer]]s and having values in the [[complex number]]s. In other words:Thus an arithmetic function is nothing but a [[sequence]] of complex numbers, but usually has additional properties.

The most important arithmetic functions are the [[additive function|additive]] and the [[multiplicative function|multiplicative]] ones.