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μ(''n'') is defined for all positive [[natural number]]s ''n'' and has its values in <nowiki>{</nowiki>{{num/neg|1}}, {{num|0}}, {{num|1}}} depending on the [[integer factorization|factorization]] of ''n'' into [[prime factor]]s. It is defined as follows
* μ(''n'') = 1 if ''n'' is a [[square-free integer|square-free]] positive integer with an [[even and odd numbers|even]] number of distinct [[prime number|prime]] factors.
* μ(''n'') = −1 if ''n'' is a square-free positive integer with an [[even and odd numbers|odd]] number of distinct prime factors.
* μ(''n'') = 0 if ''n'' is not square-free.
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