Arithmetic function: Difference between revisions

Revision as of 06:35, 25 March 2006

Revision as of 08:38, 11 July 2006

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* ω (''n''), the number of distinct [[prime number|primes]] dividing given number ''n''. We have ω(1) = 0 and ω(20) = 2 (the distinct primes dividing 20 being 2 and 5).

* Λ(''n''), the [[von Mangoldt function]] -which is defined to be ln(''p'') if ''n'' is an integer power of a prime ''p''; and 0 for all other ''n''.

[[Category:Arithmetic functions|*]]