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The von Mangoldt function is defined by
![]() | (1) |
where stands for a prime
and
an integer.
The Moebius inversion formula gives
![]() | (2) |
Here stands for the Moebius function.
If we have
![]() | (3) |
The average order of is 1, that is
![]() | (4) |
We also have
![]() | (5) |
and for
![]() | (6) |
Cite this web-page as:
Štefan Porubský: von Mangoldt’s Function.