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Liouville function

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  • Jon Perry
    The Liouville function is defined as (-1)^r(n) where r(n) is the number of prime factors, not necessarily distinct. e.g. r(12)=3, r(18)=3. Is there a function
    Message 1 of 1 , Jun 2, 2002
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      The Liouville function is defined as (-1)^r(n)

      where r(n) is the number of prime factors, not necessarily distinct.
      e.g. r(12)=3, r(18)=3.

      Is there a function defined for s(n), where s(n) is the number of distinct
      prime factors?

      Jon Perry
      perry@...
      http://www.users.globalnet.co.uk/~perry/maths
      BrainBench MVP for HTML and JavaScript
      http://www.brainbench.com
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