Sum Of Squared Reciprocals - Mobius Function
Number Theory
Level
3
\[\sum_{\mu(n)=1} \frac{1}{n^2} = \frac{A}{B\pi^C}\]
Let \(\mu(n)\) denote the möbius function, the sum is taken over all positive integers \(n\) such that \(\mu(n)=1\), with coprime positive integers \(A\) and \(B.\) Find \(A+B+C\).
by
Julian Poon