New posts in dirichlet-convolution

Does equal Bell series imply Dirichlet convolution?

number-theory elementary-number-theory solution-verification analytic-number-theory dirichlet-convolution

Let $f:\Bbb{N}\to\Bbb{C}$ denotes the indicator function of squares. Express it in terms of Mobious function $\mu$.

number-theory analytic-number-theory arithmetic-functions multiplicative-function dirichlet-convolution

Is there a "nice" formula for $\sum_{d|n}\mu(d)\phi(d)$?

elementary-number-theory arithmetic-functions mobius-function dirichlet-convolution

Necessary and sufficient condition to be completely multiplicative

number-theory dirichlet-series multiplicative-function dirichlet-convolution

Intuitive basis of Mobius inversion?

intuition analytic-number-theory arithmetic-functions mobius-inversion dirichlet-convolution