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additive functions need not be polynomials (not even numeric); only addition operatopr required |
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* The function Ω(''n''), defined as the total number of [[prime number|prime]] factors of ''n'', counting multiple factors multiple times. It is often called "[[Big Omega function]]".This implies Ω(1) = 0 since 1 has no prime factors. Some more values: ([http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A001222 SIDN A001222])
::Ω(4) = 2
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