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→Multiplicative and additive functions: fixed definitions of multiplicative and completely multiplicative arithmetic functions: we must require a(1) = 1, and the linked Wikipedia page points that out already. |
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{{short description|Function whose ___domain is the positive integers}}
{{log(x)}}
In [[number theory]], an '''arithmetic''', '''arithmetical''', or '''number-theoretic function'''<ref>{{harvtxt|Long|1972|p=151}}</ref><ref>{{harvtxt|Pettofrezzo|Byrkit|1970|p=58}}</ref> is generally any [[Function (mathematics)|function]]
An example of an arithmetic function is the [[divisor function]] whose value at a positive integer ''n'' is equal to the number of divisors of ''n''.
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