Möbius function: Difference between revisions

Revision as of 16:47, 19 March 2006

Revision as of 18:34, 1 June 2006

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==Definition==

&mu;(''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

* &mu;(''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.