New posts in Mobius Function

Dirichlet Convolution of the Mobius Function with Itself

Dirichlet series associated to squared Möbius

The Möbius function is the sum of the primitive $n$th roots of unity.

Are there infinitely many natural numbers $n$ such that $\mu(n)=\mu(n+1)=\pm 1$?

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

Counting square free numbers co-prime to $m$

What is the Möbius analoge for Ihara's $\zeta$ function?

Coefficient of $n$th cyclotomic polynomial equals $-\mu(n)$