This site is supported by donations to The OEIS Foundation.

Completely additive arithmetic functions

From OeisWiki

(Redirected from Completely additive)
Jump to: navigation, search

This article page is a stub, please help by expanding it.


In number theory, completely additive arithmetic functions are arithmetic functions \scriptstyle a(n),\, n \,\in\, \N^+, \, such that

a(mn) = a(m) + a(n),\quad m,\, n \in \N^+. \,

Obviously, \scriptstyle a(1) must be 0. An example is Ω(n), the number of prime factors of n.

See also

Retrieved from "http://oeis.org/wiki/Completely_additive_arithmetic_functions"
Personal tools