Answer to Question #98936 in Combinatorics | Number Theory for Dorothy

Question #98936
Let f(x) be a function on the set of real numbers x ≥ 1.
Define the function g(x) for x ≥ 1 by
g(x) = X
1≤n≤x
f(x/n).

Prove that
f(x) = X
1≤n≤x
µ(n)g(x/n).

Here µ is the M¨obius function.
1
Expert's answer
2019-11-20T13:00:41-0500
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