Arithmetic function: Difference between revisions

Revision as of 20:10, 26 February 2006

Revision as of 06:35, 25 March 2006

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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|integers]]s and having values in the [[complex number|complex numbers]]s. In other words: an arithmetic function is nothing but a [[sequence]] of complex numbers.

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

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==Examples==

The articles on additive and multiplicative functions contain several examples of arithmetic functions. Here are some examples that are neither additive nor multiplicative:

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[[de:Zahlentheoretische Funktion]]

[[he:פונקציה אריתמטית]]

[[ko:수론적 함수]]

[[ko:수론적 함수]]

[[it:Funzione aritmetica]]

[[sl:AritmetičnaAritmetična funkcija]]

[[sv:Aritmetisk funktion]]

[[zh:算術函數]]