(3) The von Mangoldt function A is defined by A(n) = Prove that log(p), if n = pk, where p is a prime, and k ≥ 1; 0 otherwise. 1(n) = Σμ(n/d) log(d) = - Σ μ(d)log(d). dẫn d|n

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(3) The von Mangoldt function A is defined by
A(n) =
Prove that
log(p), if n = pk, where p is a prime, and k ≥ 1;
=
otherwise.
1(n) = Σμ(n/d) log(d) =
Σμ(d) log(d).
dẫn
d|n
==
Transcribed Image Text:(3) The von Mangoldt function A is defined by A(n) = Prove that log(p), if n = pk, where p is a prime, and k ≥ 1; = otherwise. 1(n) = Σμ(n/d) log(d) = Σμ(d) log(d). dẫn d|n ==
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