Mobius function

Revision as of 18:20, 26 January 2011 by Ftong (talk | contribs)

The Mobius function is a multiplicative number theoretic function defined as follows: \[\mu(n) = \begin{cases} 0 & d^2 | n, \\ (-1)^k & n = p_1p_2\cdots{p_k} .\end{cases}\] In addition, $\mu(1) = 1$.