Completely multiplicative functions taking values in $\{-1,1\}$

Peter Borwein, Stephen K. K. Choi, Michael Coons

Define {\em the Liouville function for $A$}, a subset of the primes $P$, by ${\lambda }_A(n)=(-1{)}^{{\Omega }_A(n)}$ where ${\Omega }_A(n)$ is the number of prime factors of $n$ coming from $A$ counting…