New posts in Arithmetic Functions

Why is this arbitrary-looking identity of arithmetic functions "obvious"?

Functions that link to divisor function

Some regularity in the prime decomposition

Dirichlet Convolution of the Mobius Function with Itself

Identity function that returns $1$ for the input $0$.

Was this arithmetic Möbius/Mangoldt function ever used for something?

Proof of $\sum_{d|n} {\tau}^3(d)=\left(\sum_{d|n}{\tau}(d)\right)^2$ (not standard proof)

For all $n$ there exists $x$ such that $\varphi(x)<\varphi(x+1)<\ldots<\varphi(x+n)$

Inequality $\varphi(N)>\pi(N)$?

Arithmetical Functions Sum, $\sum\limits_{d|n}\sigma(d)\phi(\frac{n}{d})$ and $\sum\limits_{d|n}\tau(d)\phi(\frac{n}{d})$