view my set. Lets recall .\
we define a new function:
We again make 3 cases
1.n is square free. we easily have
2.. in that case möbius will be zero everywhere except prime divisor bieng in which case it will becom |-1|=1. so the summation will be
yes! this is great actually. convoluting both sides with we have
We will compute in the next note.
dirichlet series and dirichlet convolution used here.