Additive function: Difference between revisions

Revision as of 23:01, 19 September 2002

Revision as of 23:35, 19 September 2002

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Arithmetic functions which are completely additive are:

* The restriction of the [[logarithm|logarithmic function]] to '''N'''.

* The function Ω(''n''), defined as the total number of [[prime number|prime]] factors of ''n'', counting multiple factors multiple times. This implies Ω(1) = 0 since 1 has no prime factors. Some values:

::Ω(4) = 2