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Prime Number Related Notation Question

  1. Oct 12, 2011 #1
    Is there any standard (or reasonably standard) notation for the following function?

    Basically, it's

    ∏(n) - ∏(n-1)

    or, which is the same thing,

    [itex]\frac{\Lambda(n)}{\log n}[/itex]

    (where ∏(n) is the Riemann prime counting function and [itex]\Lambda[/itex](n) is the Von Mangoldt function)

    Basically, it's the function that is 1/a if n = p^a, where p is some prime, and 0 otherwise.

    I use it all the time, and writing [itex]\frac{\Lambda(n)}{\log n}[/itex] for it is pretty unwieldy. Actually, while on the topic, does it have any sort of standard name?
     
  2. jcsd
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