Definition:Arithmetic Function

Definition
An arithmetic function or arithmetical function is a complex valued function defined on the natural numbers. That is, a function


 * $ f : \N \to \C$

Examples
Common examples of arithmetic functions include:


 * The Möbius function $\mu(n)$


 * The Euler phi function $\phi(n)$


 * The von Mangoldt function $\Lambda(n)$