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If \(m\) or \(n\) is not square-free, so is \(mn\) and then \(\mu(m)\mu(n)=0=\mu(mn)\). Suppose \(m\) and \(n\) are square-free where \(m=p_1p_2\cdots p_r\) and \(n=q_1q_2\cdots q_s\). Since \(\gcd(m,n)=1\), \(p_i\neq q_j\) for all \(i,j\).
The Möbius function is a number theoretic function defined by mu (n)= {0 if n has one or more repeated prime factors; 1 if n=1; (-1)^k if n is a product of k distinct primes, (1) so mu (n)!=0 indicates that n is squarefree (Havil 2003, p. 208).
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17 paź 2019 · The parameters $\mu$ and $\sigma$ of the normal distribution are called "Mittelwert" and "Standardabweichung" in German and their Greek letters have the phonetic equivalents "M" and "S" in Latin script.
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